Write the Fraction in Simplest Form ninth root of 3^6

$\sqrt[9]{3^{6}}$

Step 1

Raise $3$ to the power of $6$ .

$\sqrt[9]{729}$

Step 2

Rewrite $729$ as $9^{3}$ .

$\sqrt[9]{9^{3}}$

Step 3

Rewrite $\sqrt[9]{9^{3}}$ as $\sqrt[3]{\sqrt[3]{9^{3}}}$ .

$\sqrt[3]{\sqrt[3]{9^{3}}}$

Step 4

Pull terms out from under the radical, assuming real numbers.

$\sqrt[3]{9}$