Evaluate (-5)^0*(-5)/((-5)^-2)

${(- 5)}^{0} \cdot \frac{(- 5)}{{(- 5)}^{- 2}}$

Step 1

Simplify the denominator.

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(- 5)}^{0} \cdot \frac{- 5}{\frac{1}{{(- 5)}^{2}}}$

Raise $- 5$ to the power of $2$ .

${(- 5)}^{0} \cdot \frac{- 5}{\frac{1}{25}}$

Step 2

Simplify the expression.

Anything raised to $0$ is $1$ .

$1 \cdot \frac{- 5}{\frac{1}{25}}$

Multiply $\frac{- 5}{\frac{1}{25}}$ by $1$ .

$\frac{- 5}{\frac{1}{25}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- 5 \cdot 25$

Step 4

Multiply $- 5$ by $25$ .

$- 125$