Answer
$7^{\frac{9}{2}}$
Work Step by Step
We are given that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$, if all indicated roots are real numbers.
Therefore, $\sqrt 7^{9}=\sqrt[2] 7^{9}=7^{\frac{9}{2}}$.
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