Simplify (a^-7b^2)/(c^3d^-4)

$\frac{a^{- 7} b^{2}}{c^{3} d^{- 4}}$

Move $a^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{b^{2}}{c^{3} d^{- 4} a^{7}}$

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

$\frac{b^{2} d^{4}}{c^{3} a^{7}}$