2015 AMC 10A Problems/Problem 1

Problem

What is the value of $(2^0-1+5^2-0)^{-1}\times5?$

$\textbf{(A)}\ -125\qquad\textbf{(B)}\ -120\qquad\textbf{(C)}\ \frac{1}{5}\qquad\textbf{(D)}}\ \frac{5}{24}\qquad\textbf{(E)}\ 25$ (Error compiling LaTeX. Unknown error_msg)

Solution

$(2^0-1+5^2-0)^{-1}\times5$ $=(1-1+25-0)^{-1}\times5$ $=25^{-1}\times5$ $=\frac{1}{25}\times5$ $=\frac{1}{5}\implies{\boxed{\textbf{(C)}\ \frac{1}{5}}}$

2015 AMC 10A (Problems • Answer Key • Resources)
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All AMC 10 Problems and Solutions

2015 AMC 12A (Problems • Answer Key • Resources)
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All AMC 12 Problems and Solutions

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2015 AMC 10A Problems/Problem 1

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