Difference between revisions of "1971 AHSME Problems/Problem 7"

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<math>Let\ x\ equal\ 2^{-2k}
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<math>Let\ x\ equal\ 2^{-2k}\ \\*
\
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From\ this\ we\ get \frac{x}{2}-(\frac{-x}{\frac{-1}{2}})+x\ by\ using\ power\ rule.\  
From\ this\ we\ get \frac{x}{2}-(\frac{-x}{\frac{-1}{2}})+x\ by\ using\ power\ rule\  
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\\*Now\ we\ can\ see\ this\ simplies\ to\ \frac{-x}{2}\
Now\ we\ can\ see\ this\ simplies\ to\ \frac{-x}{2}\
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\\*Looking\ at\ \frac{x}{2} we\ can\ clearly\ see\ that\ \frac{-x}{2} is\ equal\ to\ -2^{-(2k+1)}\
Looking\ at\ \frac{x}{2} we\ can\ clearly\ see\ that\ \frac{-x}{2} is\ equal\ to\ -2^{-(2k+1)}\
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\\*Thus\ our\ answer\ is\ c</math>
Thus\ our\ answer\ is\ c</math>
 

Revision as of 20:52, 29 April 2020

$Let\ x\ equal\ 2^{-2k}\ \\* From\ this\ we\ get \frac{x}{2}-(\frac{-x}{\frac{-1}{2}})+x\ by\ using\ power\ rule.\  \\*Now\ we\ can\ see\ this\ simplies\ to\ \frac{-x}{2}\ \\*Looking\ at\ \frac{x}{2} we\ can\ clearly\ see\ that\ \frac{-x}{2} is\ equal\ to\ -2^{-(2k+1)}\ \\*Thus\ our\ answer\ is\ c$