2014 AMC 10B Problem 2 — Solution | LIVE by Po-Shen Loh

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2014 AMC 10B Problem 2

Attempt Problem 2 of the 2014 AMC 10B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2014 AMC 10B solutions, or check the answer key.

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2.

What is $\dfrac{2^3 + 2^3}{2^{-3} + 2^{-3}}?$

$16$

$24$

$32$

$48$

$64$

Answer: E

Concepts:exponent

Difficulty rating: 870

Solution:

$\begin{aligned} \dfrac{2^3 + 2^3}{2^{-3} + 2^{-3}} &= \dfrac{2\cdot 2^3}{2\cdot 2^{-3}} \\&=2^6 \\&= 64 \end{aligned}$

Thus, the correct answer is E .

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