Evaluate 3125^(4/5)

$3125^{\frac{4}{5}}$

Step 1

Simplify the expression.

Rewrite $3125$ as $5^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$5^{4}$

Step 3

Raise $5$ to the power of $4$ .

$625$