## Final Answer

## Step-by-step Solution

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Simplify $\sqrt[3]{\sqrt[3]{3^a}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{3}$ and $n$ equals $\frac{1}{3}$

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$3^{\frac{1}{9}a}=9$

Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals 3^a^1/3^1/3=3^2. Simplify \sqrt[3]{\sqrt[3]{3^a}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals \frac{1}{3}. Rewrite the number 9 as a power with base 3 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other. Eliminate the \frac{1}{9} from the left side, multiplying both sides of the equation by the inverse of \frac{1}{9}.