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2010 UNCO Math Contest II Problems/Problem 8 - Revision history
2024-03-29T09:12:40Z
Revision history for this page on the wiki
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Thisisasentence: /* Solution */
2015-10-13T01:12:24Z
<p><span dir="auto"><span class="autocomment">Solution</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:12, 13 October 2015</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Solution ==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Solution ==</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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 style="font-weight: bold; text-decoration: none;">Let the product = <math>P</math>. Then </ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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 style="font-weight: bold; text-decoration: none;"><math>(3-1)P=3^{2048}-1\implies</math></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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 style="font-weight: bold; text-decoration: none;"><math>P=\frac{3^{2048}-1}{2}</math></ins></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td></tr>
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Thisisasentence
https://artofproblemsolving.com/wiki/index.php?title=2010_UNCO_Math_Contest_II_Problems/Problem_8&diff=65255&oldid=prev
Timneh: /* See also */
2014-10-20T01:31:53Z
<p><span dir="auto"><span class="autocomment">See also</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:31, 20 October 2014</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; 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">UNC </del>Math Contest box|year=2010|n=II|num-b=7|num-a=9}}</div></td><td class='diff-marker'>+</td><td style="color: #222; 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">UNCO </ins>Math Contest box|year=2010|n=II|num-b=7|num-a=9}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Intermediate Algebra Problems]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Intermediate Algebra Problems]]</div></td></tr>
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Timneh
https://artofproblemsolving.com/wiki/index.php?title=2010_UNCO_Math_Contest_II_Problems/Problem_8&diff=65189&oldid=prev
Timneh: moved 2010 UNC Math Contest II Problems/Problem 8 to 2010 UNCO Math Contest II Problems/Problem 8: disambiguation of University of Northern Colorado with University of North Carolina
2014-10-20T01:18:14Z
<p>moved <a href="/wiki/index.php/2010_UNC_Math_Contest_II_Problems/Problem_8" class="mw-redirect" title="2010 UNC Math Contest II Problems/Problem 8">2010 UNC Math Contest II Problems/Problem 8</a> to <a href="/wiki/index.php/2010_UNCO_Math_Contest_II_Problems/Problem_8" title="2010 UNCO Math Contest II Problems/Problem 8">2010 UNCO Math Contest II Problems/Problem 8</a>: disambiguation of University of Northern Colorado with University of North Carolina</p>
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<td colspan="1" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:18, 20 October 2014</td>
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Timneh
https://artofproblemsolving.com/wiki/index.php?title=2010_UNCO_Math_Contest_II_Problems/Problem_8&diff=65042&oldid=prev
Timneh: Created page with "== Problem == Simplify <math>(3^1+1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)\cdots (3^{1024}+1)</math>, using exponential notation to express your answer. Generalize this result. == So..."
2014-10-19T20:19:32Z
<p>Created page with "== Problem == Simplify <math>(3^1+1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)\cdots (3^{1024}+1)</math>, using exponential notation to express your answer. Generalize this result. == So..."</p>
<p><b>New page</b></p><div>== Problem ==<br />
<br />
Simplify <math>(3^1+1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)\cdots (3^{1024}+1)</math>, using exponential notation to<br />
express your answer. Generalize this result.<br />
<br />
<br />
== Solution ==<br />
<br />
== See also ==<br />
{{UNC Math Contest box|year=2010|n=II|num-b=7|num-a=9}}<br />
<br />
[[Category:Intermediate Algebra Problems]]</div>
Timneh