Basic Math Examples

${(3 m^{- 3} n)}^{- 1}$

Step 1

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

${(3 \frac{1}{m^{3}} n)}^{- 1}$

Step 2

Combine $3$ and $\frac{1}{m^{3}}$ .

${(\frac{3}{m^{3}} n)}^{- 1}$

Step 3

Combine $\frac{3}{m^{3}}$ and $n$ .

${(\frac{3 n}{m^{3}})}^{- 1}$

Step 4

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{m^{3}}{3 n}$