Evaluate -1024^(1/5)

$- 1024^{\frac{1}{5}}$

Step 1

Simplify the expression.

Rewrite $1024$ as $4^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$- 4^{1}$

Step 3

Simplify the expression.

Evaluate the exponent.

$- 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 4$