1982 AHSME Problems/Problem 3

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Problem

Evaluate $(x^x)^{(x^x)}$ at $x = 2$.

$\text{(A)} \ 16 \qquad  \text{(B)} \ 64 \qquad  \text{(C)} \ 256 \qquad  \text{(D)} \ 1024 \qquad  \text{(E)} \ 65,536$

Solution

Plugging in $2$ as $x$ gives $4^4$, which is merely $\boxed{\text{(C)} \ 256 }$.

See Also

1982 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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