Evaluate -625^(1/4)

$- 625^{\frac{1}{4}}$

Step 1

Simplify the expression.

Rewrite $625$ as $5^{4}$ .

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

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

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

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$- 5^{1}$

Step 3

Evaluate the exponent.

$- 1 \cdot 5$

Step 4

Multiply $- 1$ by $5$ .

$- 5$