Final answer to the problem
$64^{\frac{1}{2}\cdot \frac{1}{3}}$
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Step-by-step Solution
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- Prime Factor Decomposition
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1
Simplify $\sqrt[3]{\sqrt{64}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $\frac{1}{3}$
$64^{\frac{1}{2}\cdot \frac{1}{3}}$
Final answer to the problem
$64^{\frac{1}{2}\cdot \frac{1}{3}}$
Exact Numeric Answer
$2$
