Simplify (-5^7)÷(-5^2)

$- 5^{7} \div (- 5^{2})$

Rewrite the division as a fraction.

$\frac{- 5^{7}}{- 5^{2}}$

Dividing two negative values results in a positive value.

$\frac{5^{7}}{5^{2}}$

Cancel the common factor of $5^{7}$ and $5^{2}$ .

Factor $5^{2}$ out of $5^{7}$ .

$\frac{5^{2} \cdot 5^{5}}{5^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{5^{2} \cdot 5^{5}}{5^{2} \cdot 1}$

Cancel the common factor.

$\frac{5^{2} \cdot 5^{5}}{5^{2} \cdot 1}$

Rewrite the expression.

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

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

$5^{5}$

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

$3125$