Simplify the Radical Expression -256^(1/4)

$- 256^{\frac{1}{4}}$

Step 1

Rewrite $256$ as $4^{4}$ .

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

Step 2

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

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

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$- 4^{1}$

Step 4

Evaluate the exponent.

$- 1 \cdot 4$

Step 5

Multiply $- 1$ by $4$ .

$- 4$