Simplify 26 root of (n^8)/(n^-5)

$\sqrt[26]{\frac{n^{8}}{n^{- 5}}}$

Reduce the expression by cancelling the common factors.

Move $n^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\sqrt[26]{n^{8} n^{5}}$

Multiply $n^{8}$ by $n^{5}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt[26]{n^{8 + 5}}$

Add $8$ and $5$ .

$\sqrt[26]{n^{13}}$

Rewrite $\sqrt[26]{n^{13}}$ as $\sqrt{\sqrt[13]{n^{13}}}$ .

$\sqrt{\sqrt[13]{n^{13}}}$

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

$\sqrt{n}$