Simplify (m^-9)(-4m^-5)(-m^6)

$(m^{- 9}) (- 4 m^{- 5}) (- m^{6})$

Step 1

Multiply $m^{- 9}$ by $m^{- 5}$ by adding the exponents.

Move $m^{- 5}$ .

$m^{- 5} m^{- 9} \cdot - 4 (- m^{6})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m^{- 5 - 9} \cdot - 4 (- m^{6})$

Subtract $9$ from $- 5$ .

$m^{- 14} \cdot - 4 (- m^{6})$

Step 2

Multiply $m^{- 14}$ by $m^{6}$ by adding the exponents.

Move $m^{6}$ .

$m^{6} m^{- 14} \cdot - 4 \cdot - 1$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m^{6 - 14} \cdot - 4 \cdot - 1$

Subtract $14$ from $6$ .

$m^{- 8} \cdot - 4 \cdot - 1$

Step 3

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

$\frac{1}{m^{8}} \cdot - 4 \cdot - 1$

Step 4

Combine $\frac{1}{m^{8}}$ and $- 4$ .

$\frac{- 4}{m^{8}} \cdot - 1$

Step 5

Move the negative in front of the fraction.

$- \frac{4}{m^{8}} \cdot - 1$

Step 6

Multiply $- \frac{4}{m^{8}} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$1 \frac{4}{m^{8}}$

Multiply $\frac{4}{m^{8}}$ by $1$ .

$\frac{4}{m^{8}}$