Simplify -6n^2*2m^-5

$- 6 n^{2} \cdot 2 m^{- 5}$

Step 1

Rewrite using the commutative property of multiplication.

$- 6 \cdot 2 n^{2} m^{- 5}$

Step 2

Multiply $- 6$ by $2$ .

$- 12 n^{2} m^{- 5}$

Step 3

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

$- 12 n^{2} \frac{1}{m^{5}}$

Step 4

Multiply $- 12 n^{2} \frac{1}{m^{5}}$ .

Combine $- 12$ and $\frac{1}{m^{5}}$ .

$n^{2} \frac{- 12}{m^{5}}$

Combine $n^{2}$ and $\frac{- 12}{m^{5}}$ .

$\frac{n^{2} \cdot - 12}{m^{5}}$

Step 5

Move $- 12$ to the left of $n^{2}$ .

$\frac{- 12 \cdot n^{2}}{m^{5}}$

Step 6

Move the negative in front of the fraction.

$- \frac{12 n^{2}}{m^{5}}$