Simplify eighth root of 6561x^4

$\sqrt[8]{6561 x^{4}}$

Step 1

Rewrite $6561$ as $3^{8}$ .

$\sqrt[8]{3^{8} x^{4}}$

Step 2

Pull terms out from under the radical.

$3 \sqrt[8]{x^{4}}$

Step 3

Rewrite $\sqrt[8]{x^{4}}$ as $\sqrt{\sqrt[4]{x^{4}}}$ .

$3 \sqrt{\sqrt[4]{x^{4}}}$

Step 4

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

$3 \sqrt{x}$