Difference between revisions of "2014 AMC 10B Problems/Problem 2"
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==Solution== | ==Solution== | ||
We can synchronously multiply <math> {2^3} </math> to the polynomials both above and below the fraction bar. Thus, | We can synchronously multiply <math> {2^3} </math> to the polynomials both above and below the fraction bar. Thus, | ||
− | <cmath>\frac{2^3+2^3}{2^{-3}+2^{-3}}\\=\frac{2^6+2^6}{1+1}\\={2^6} | + | <cmath>\frac{2^3+2^3}{2^{-3}+2^{-3}}\\=\frac{2^6+2^6}{1+1}\\={2^6}. </cmath> |
− | + | Hence, the fraction equals to $\boxed{{64 (\textbf{E})}}. | |
==See Also== | ==See Also== | ||
{{AMC10 box|year=2014|ab=B|num-b=1|num-a=3}} | {{AMC10 box|year=2014|ab=B|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 13:23, 20 February 2014
Problem
What is ?
Solution
We can synchronously multiply to the polynomials both above and below the fraction bar. Thus,
Hence, the fraction equals to $\boxed{{64 (\textbf{E})}}.
See Also
2014 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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All AMC 10 Problems and Solutions |
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