rewrite the following without an exponent. (-5)^{-3}

Answer:

$-\frac{1}{125}$

Explanation:

Step1: Apply negative - exponent rule

$(-5)^{-3}=\frac{1}{(-5)^{3}}$

Step2: Calculate $(-5)^{3}$

$(-5)^{3}=(-5)\times(-5)\times(-5)= - 125$

Step3: Get the final result

$\frac{1}{(-5)^{3}}=-\frac{1}{125}$