Simplify (-5^8)/(-5^4)

$\frac{- 5^{8}}{- 5^{4}}$

Dividing two negative values results in a positive value.

$\frac{5^{8}}{5^{4}}$

Cancel the common factor of $5^{8}$ and $5^{4}$ .

Factor $5^{4}$ out of $5^{8}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{5^{4} \cdot 5^{4}}{5^{4} \cdot 1}$

Cancel the common factor.

$\frac{5^{4} \cdot 5^{4}}{5^{4} \cdot 1}$

Rewrite the expression.

$\frac{5^{4}}{1}$

Divide $5^{4}$ by $1$ .

$5^{4}$

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

$625$