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 $\boxed{\textbf{(A)}}$.

See Also

1963 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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