Answer
$f(x)=(\frac{1}{4})^x$
Work Step by Step
For $f(x)=a^x$ to contain point $(-3,64)$, we have $f(-3)=a^{-3}=64$ which gives $a=\frac{1}{4}$, thus $f(x)=(\frac{1}{4})^x$
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