https://matte1b.mathonline.se/index.php?action=history&feed=atom&title=1.5_L%C3%B6sning_1b 2026-08-20T17:29:50Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=28349&oldid=prev 2015-09-14T14:02:57Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 14 september 2015 kl. 14.02</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; \displaystyle{4\,^4 \cdot 4\,^{-2} / 4 \<del class="diffchange diffchange-inline">; </del>= \<del class="diffchange diffchange-inline">; </del>{4\,^{4\,+\,(-2)} \over 4\,^1} \<del class="diffchange diffchange-inline">; </del>= \<del class="diffchange diffchange-inline">; </del>{4\,^{4\,-\,2} \over 4\,^1} \<del class="diffchange diffchange-inline">; </del>= \<del class="diffchange diffchange-inline">; </del>{4\,^2 \over 4\,^1}&#160; \, = \, 4\,^{2-1} \, = \, 4\,^1 \, = \, 4} &lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; \displaystyle{4\,^4 \cdot 4\,^{-2} / 4 \<ins class="diffchange diffchange-inline">, </ins>= \<ins class="diffchange diffchange-inline">, {4\,^4 \cdot 4\,^{-2} \over 4\,^1} \, = \, </ins>{4\,^{4\,+\,(-2)} \over 4\,^1} \<ins class="diffchange diffchange-inline">, </ins>= \<ins class="diffchange diffchange-inline">, </ins>{4\,^{4\,-\,2} \over 4\,^1} \<ins class="diffchange diffchange-inline">, </ins>= \<ins class="diffchange diffchange-inline">, </ins>{4\,^2 \over 4\,^1}&#160; \, = \, 4\,^{2-1} \, = \, 4\,^1 \, = \, 4} &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26430&oldid=prev 2015-07-06T16:00:36Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 6 juli 2015 kl. 16.00</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">::</del>&lt;math&gt; <del class="diffchange diffchange-inline">3</del>\,^4 \cdot <del class="diffchange diffchange-inline">3</del>\,^{-2} / <del class="diffchange diffchange-inline">3 </del>\; = \; <del class="diffchange diffchange-inline">3</del>\,^{4\,+\,(-2)} <del class="diffchange diffchange-inline">/ 3 </del>\; = \; <del class="diffchange diffchange-inline">3</del>\,^{4\,-\,2} <del class="diffchange diffchange-inline">/ 3 </del>\<del class="diffchange diffchange-inline">; = \; 3</del>\,^<del class="diffchange diffchange-inline">2 / 3 </del>\; = \; <del class="diffchange diffchange-inline">\displaystyle</del>{<del class="diffchange diffchange-inline">3</del>\,^2 \over <del class="diffchange diffchange-inline">3</del>} \<del class="diffchange diffchange-inline">; </del>= \<del class="diffchange diffchange-inline">; \displaystyle{3</del>\,^2 \<del class="diffchange diffchange-inline">over 3</del>\,^1<del class="diffchange diffchange-inline">} </del>\<del class="diffchange diffchange-inline">; </del>= \<del class="diffchange diffchange-inline">; 3 </del>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; <ins class="diffchange diffchange-inline">\displaystyle{4</ins>\,^4 \cdot <ins class="diffchange diffchange-inline">4</ins>\,^{-2} / <ins class="diffchange diffchange-inline">4 </ins>\; = \; <ins class="diffchange diffchange-inline">{4</ins>\,^{4\,+\,(-2)} <ins class="diffchange diffchange-inline">\over 4\,^1} </ins>\; = \; <ins class="diffchange diffchange-inline">{4</ins>\,^{4\,-\,2} \<ins class="diffchange diffchange-inline">over 4</ins>\,^<ins class="diffchange diffchange-inline">1} </ins>\; = \; {<ins class="diffchange diffchange-inline">4</ins>\,^2 \over <ins class="diffchange diffchange-inline">4\,^1</ins>} <ins class="diffchange diffchange-inline"> </ins>\<ins class="diffchange diffchange-inline">, </ins>= \<ins class="diffchange diffchange-inline">, 4</ins>\,^<ins class="diffchange diffchange-inline">{</ins>2<ins class="diffchange diffchange-inline">-1} </ins>\<ins class="diffchange diffchange-inline">, = \, 4</ins>\,^1 \<ins class="diffchange diffchange-inline">, </ins>= \<ins class="diffchange diffchange-inline">, 4} </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26145&oldid=prev 2015-06-24T16:57:07Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.57</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 \; = \; \displaystyle{3\,^2 \over 3} \; = \; 3 &lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 \; = \; \displaystyle{3\,^2 \over 3<ins class="diffchange diffchange-inline">} \; = \; \displaystyle{3\,^2 \over 3\,^1</ins>} \; = \; 3 &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26144&oldid=prev 2015-06-24T16:56:05Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.56</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 \; = \; \displaystyle{3\,^2 \over 3} \; = \; 3 &lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">::</ins>&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 \; = \; \displaystyle{3\,^2 \over 3} \; = \; 3 &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26143&oldid=prev 2015-06-24T16:55:43Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.55</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 = \displaystyle{3\,^2 \over 3} \; = \; 3 &lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; 3\,^4 \cdot 3\,^{-2} / 3 \; = \; 3\,^{4\,+\,(-2)} / 3 \; = \; 3\,^{4\,-\,2} / 3 \; = \; 3\,^2 / 3 <ins class="diffchange diffchange-inline">\; </ins>= <ins class="diffchange diffchange-inline">\; </ins>\displaystyle{3\,^2 \over 3} \; = \; 3 &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26142&oldid=prev 2015-06-24T16:54:28Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.54</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">::</del>&lt;math&gt; <del class="diffchange diffchange-inline">x</del>\,^4 \cdot <del class="diffchange diffchange-inline">x</del>\,^{-2} / <del class="diffchange diffchange-inline">x </del>\; = \; <del class="diffchange diffchange-inline">x</del>\,^{4\,-\,2} / <del class="diffchange diffchange-inline">x </del>\; = \; <del class="diffchange diffchange-inline">x</del>\,^2 / <del class="diffchange diffchange-inline">x </del>= \displaystyle{<del class="diffchange diffchange-inline">x</del>\,^2 \over <del class="diffchange diffchange-inline">x</del>} \; = \; <del class="diffchange diffchange-inline">x </del>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; <ins class="diffchange diffchange-inline">3</ins>\,^4 \cdot <ins class="diffchange diffchange-inline">3</ins>\,^{-2} / <ins class="diffchange diffchange-inline">3 </ins>\; = \; <ins class="diffchange diffchange-inline">3\,^{4\,+\,(-2)} / 3 \; = \; 3</ins>\,^{4\,-\,2} / <ins class="diffchange diffchange-inline">3 </ins>\; = \; <ins class="diffchange diffchange-inline">3</ins>\,^2 / <ins class="diffchange diffchange-inline">3 </ins>= \displaystyle{<ins class="diffchange diffchange-inline">3</ins>\,^2 \over <ins class="diffchange diffchange-inline">3</ins>} \; = \; <ins class="diffchange diffchange-inline">3 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26129&oldid=prev 2015-06-24T16:32:14Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.32</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">::&lt;math&gt; x\,^4 \cdot x\,^{-2} / x \; = \; x\,^{4\,-\,2} / x \; = \; x\,^2 / x = \displaystyle{x\,^2 \over x} \; = \; x &lt;/math&gt;</ins></div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=26125&oldid=prev 2015-06-24T16:30:46Z

<p>Tömde sidan</p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 juni 2015 kl. 16.30</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">&lt;math&gt; \displaystyle {{2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = } &lt;/math&gt;</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">&lt;math&gt; \displaystyle {= {2\,x^3 \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =&#160; {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =&#160; {x^2 \over 3} } &lt;/math&gt;</del></div></td><td colspan="2">&#160;</td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=22988&oldid=prev 2015-03-24T23:11:56Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 24 mars 2015 kl. 23.11</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = <del class="diffchange diffchange-inline"> </del>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; <ins class="diffchange diffchange-inline">\displaystyle {</ins>{2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = <ins class="diffchange diffchange-inline">} </ins>&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; = {2\,x^3 \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =&#160; {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =&#160; {x^2 \over 3}&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; <ins class="diffchange diffchange-inline">\displaystyle {</ins>= {2\,x^3 \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =&#160; {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =&#160; {x^2 \over 3<ins class="diffchange diffchange-inline">} </ins>} &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_1b&diff=3010&oldid=prev 2011-03-09T22:08:48Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 9 mars 2011 kl. 22.08</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = <del class="diffchange diffchange-inline">{2\,x^3 \over 3} \cdot (2\,x)^{-1} = </del>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = <ins class="diffchange diffchange-inline"> </ins>&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =&#160; {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =&#160; {x^2 \over 3}&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt; <ins class="diffchange diffchange-inline">= {2\,x^3 \over 3} \cdot (2\,x)^{-1} </ins>= {2\,x^3 \over 3} \cdot {1 \over 2\,x} =&#160; {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =&#160; {x^2 \over 3}&lt;/math&gt;</div></td></tr> </table>

Taifun