https://matte1b.mathonline.se/index.php?action=history&feed=atom&title=1.5_L%C3%B6sning_3c 2026-08-21T18:17:07Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_3c&diff=26641&oldid=prev 2015-07-07T13:50:44Z

<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 7 juli 2015 kl. 13.50</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; (-<del class="diffchange diffchange-inline">1</del>)\,^3\; = \; (-<del class="diffchange diffchange-inline">1</del>) \,\cdot\, (-<del class="diffchange diffchange-inline">1</del>) \,\cdot\, (-<del class="diffchange diffchange-inline">1</del>) \; = \; <del class="diffchange diffchange-inline">1 </del>\,\cdot\, (-<del class="diffchange diffchange-inline">1</del>) \; = \; -\,<del class="diffchange diffchange-inline">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; (-<ins class="diffchange diffchange-inline">2</ins>)\,^3\; = \; (-<ins class="diffchange diffchange-inline">2</ins>) \,\cdot\, (-<ins class="diffchange diffchange-inline">2</ins>) \,\cdot\, (-<ins class="diffchange diffchange-inline">2</ins>) \; = \; <ins class="diffchange diffchange-inline">4 </ins>\,\cdot\, (-<ins class="diffchange diffchange-inline">2</ins>) \; = \; -\,<ins class="diffchange diffchange-inline">8 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_3c&diff=26614&oldid=prev 2015-07-07T11:07:22Z

<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 7 juli 2015 kl. 11.07</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; (-1)\,^3\; = \; (-1) \,\cdot\, (-1) \,\cdot\, (-1) \; = \; <del class="diffchange diffchange-inline">(-</del>1<del class="diffchange diffchange-inline">) \,\cdot\, (-1) </del>\,\cdot\, (-1) \; = \; 1 &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; (-1)\,^3\; = \; (-1) \,\cdot\, (-1) \,\cdot\, (-1) \; = \; 1 \,\cdot\, (-1) \; = \; <ins class="diffchange diffchange-inline">-\,</ins>1 &lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_3c&diff=26613&oldid=prev 2015-07-07T11:06:38Z

<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 7 juli 2015 kl. 11.06</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; <del class="diffchange diffchange-inline">{x^{-5} \cdot x^9 \over </del>(<del class="diffchange diffchange-inline">x^{</del>-<del class="diffchange diffchange-inline">9}</del>)^<del class="diffchange diffchange-inline">{1/</del>3<del class="diffchange diffchange-inline">}} </del>= <del class="diffchange diffchange-inline">{x^{</del>-<del class="diffchange diffchange-inline">5+9} </del>\<del class="diffchange diffchange-inline">over x^{</del>-<del class="diffchange diffchange-inline">9 </del>\cdot <del class="diffchange diffchange-inline">{</del>1 \<del class="diffchange diffchange-inline">over 3}}} </del>= <del class="diffchange diffchange-inline">{x^4 </del>\<del class="diffchange diffchange-inline">over x^{</del>-<del class="diffchange diffchange-inline">9 </del>\<del class="diffchange diffchange-inline">over 3}} = {x^4 </del>\<del class="diffchange diffchange-inline">over x^{-3}} = {x^{4</del>-(-<del class="diffchange diffchange-inline">3</del>)<del class="diffchange diffchange-inline">}} </del>= <del class="diffchange diffchange-inline">x^{4+3} = x^7 </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><ins class="diffchange diffchange-inline">:</ins>&lt;math&gt; (-<ins class="diffchange diffchange-inline">1</ins>)<ins class="diffchange diffchange-inline">\,</ins>^3<ins class="diffchange diffchange-inline">\; </ins>= <ins class="diffchange diffchange-inline">\; (</ins>-<ins class="diffchange diffchange-inline">1) </ins>\<ins class="diffchange diffchange-inline">,\cdot\, (</ins>-<ins class="diffchange diffchange-inline">1) \,</ins>\cdot<ins class="diffchange diffchange-inline">\, (-</ins>1<ins class="diffchange diffchange-inline">) </ins>\<ins class="diffchange diffchange-inline">; </ins>= \<ins class="diffchange diffchange-inline">; (</ins>-<ins class="diffchange diffchange-inline">1) </ins>\<ins class="diffchange diffchange-inline">,</ins>\<ins class="diffchange diffchange-inline">cdot\, (</ins>-<ins class="diffchange diffchange-inline">1) \,\cdot\, </ins>(-<ins class="diffchange diffchange-inline">1</ins>) <ins class="diffchange diffchange-inline">\; </ins>= <ins class="diffchange diffchange-inline">\; 1 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_3c&diff=3067&oldid=prev 2011-03-10T10:19:43Z

<p></p> <p><b>Ny sida</b></p><div>&lt;math&gt; {x^{-5} \cdot x^9 \over (x^{-9})^{1/3}} = {x^{-5+9} \over x^{-9 \cdot {1 \over 3}}} = {x^4 \over x^{-9 \over 3}} = {x^4 \over x^{-3}} = {x^{4-(-3)}} = x^{4+3} = x^7 &lt;/math&gt;</div>

Taifun