# How do you simplify 5 div d^-3?

Nov 1, 2015

$5 \div {d}^{- 3} = 5 {d}^{3}$

#### Explanation:

$5 \div {d}^{- 3}$

Rewrite the problem.

5/(d^(-3)

Apply the negative exponent rule ${a}^{- m} = \frac{1}{a} ^ m$

$\frac{5}{\frac{1}{d} ^ 3}$

Multiply times the reciprocal of $\frac{1}{{d}^{3}}$.

$5 \times \frac{{d}^{3}}{1} =$

$5 {d}^{3}$