Evaluate 625^(3/4)

$625^{\frac{3}{4}}$

Step 1

Simplify the expression.

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

${(5^{4})}^{\frac{3}{4}}$

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

$5^{4 (\frac{3}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$5^{4 (\frac{3}{4})}$

Rewrite the expression.

$5^{3}$

Step 3

Raise $5$ to the power of $3$ .

$125$