Simplify -3w^-2*2r^-3

$- 3 w^{- 2} \cdot 2 r^{- 3}$

Step 1

Rewrite using the commutative property of multiplication.

$- 3 \cdot 2 w^{- 2} r^{- 3}$

Step 2

Multiply $- 3$ by $2$ .

$- 6 w^{- 2} r^{- 3}$

Step 3

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

$- 6 \frac{1}{w^{2}} r^{- 3}$

Step 4

Combine $- 6$ and $\frac{1}{w^{2}}$ .

$\frac{- 6}{w^{2}} r^{- 3}$

Step 5

Move the negative in front of the fraction.

$- \frac{6}{w^{2}} r^{- 3}$

Step 6

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

$- \frac{6}{w^{2}} \cdot \frac{1}{r^{3}}$

Step 7

Multiply $\frac{1}{r^{3}}$ by $\frac{6}{w^{2}}$ .

$- \frac{6}{r^{3} w^{2}}$