Simplify (n^-6*n^5)^(1/4)

${(n^{- 6} \cdot n^{5})}^{\frac{1}{4}}$

Multiply $n^{- 6}$ by $n^{5}$ by adding the exponents.

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

${(n^{- 6 + 5})}^{\frac{1}{4}}$

Add $- 6$ and $5$ .

${(n^{- 1})}^{\frac{1}{4}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$n^{- \frac{1}{4}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{n^{\frac{1}{4}}}$