Divide (5m^-1)/(9(ab)^-4c^7)

$\frac{5 m^{- 1}}{9 {(a b)}^{- 4} c^{7}}$

Step 1

Move $m^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{5}{9 {(a b)}^{- 4} c^{7} m}$

Step 2

Move ${(a b)}^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{5 {(a b)}^{4}}{9 c^{7} m}$

Step 3

Apply the product rule to $a b$ .

$\frac{5 a^{4} b^{4}}{9 c^{7} m}$