Final answer to the problem
$y=100^{\frac{1}{3}x}$
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Step-by-step Solution
1
Simplify $\sqrt[3]{100^x}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $x$ and $n$ equals $\frac{1}{3}$
$y=100^{\frac{1}{3}x}$
Final answer to the problem
$y=100^{\frac{1}{3}x}$
