Simplify fifth root of 243/(y^20)

$\sqrt[5]{\frac{243}{y^{20}}}$

Step 1

Rewrite $243$ as $3^{5}$ .

$\sqrt[5]{\frac{3^{5}}{y^{20}}}$

Step 2

Rewrite $y^{20}$ as ${(y^{4})}^{5}$ .

$\sqrt[5]{\frac{3^{5}}{{(y^{4})}^{5}}}$

Step 3

Rewrite $\frac{3^{5}}{{(y^{4})}^{5}}$ as ${(\frac{3}{y^{4}})}^{5}$ .

$\sqrt[5]{{(\frac{3}{y^{4}})}^{5}}$

Step 4

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

$\frac{3}{y^{4}}$