** Final answer to the problem

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** Step-by-step Solution **

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Simplify $\sqrt{3^a}}$ 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 $\frac{1}{3}$

Learn how to solve one-variable linear equations problems step by step online.

$\left(3^a\right)^{\frac{1}{3}\frac{1}{3}}=3^2$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation with radicals 3^a^1/3^1/3=3^2. Simplify \sqrt{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}. Multiply \frac{1}{3} times \frac{1}{3}. Simplify \sqrt[9]{3^a} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals a and n equals \frac{1}{9}. If the bases are the same, then the exponents must be equal to each other.

** Final answer to the problem

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