1963 AHSME Problems/Problem 2

Problem

let $n=x-y^{x-y}$ . Find $n$ when $x=2$ and $y=-2$ .

$\textbf{(A)}\ -14 \qquad \textbf{(B)}\ 0 \qquad \textbf{(C)}\ 1 \qquad \textbf{(D)}\ 18 \qquad \textbf{(E)}\ 256$

Solution

Substitute the variables to determine the value of $n$ . $n = 2 - (-2)^{2-(-2)}$ $n = 2 - (-2)^4$ $n = 2 - 16$ $n = -14$ The answer is $\boxed{\textbf{(A)}}$ .

1963 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
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1963 AHSME Problems/Problem 2

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