Simplify the Radical Expression -81^(1/4)

$- 81^{\frac{1}{4}}$

Rewrite $81$ as $3^{4}$ .

$- {(3^{4})}^{\frac{1}{4}}$

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

$- 3^{4 (\frac{1}{4})}$

Cancel the common factor of $4$ .

Cancel the common factor.

$- 3^{4 (\frac{1}{4})}$

Rewrite the expression.

$- 3^{1}$

Evaluate the exponent.

$- 1 \cdot 3$

Multiply $- 1$ by $3$ .

$- 3$