Simplify (a^0b^-2)/(c^-3d)

$\frac{a^{0} b^{- 2}}{c^{- 3} d}$

Move $b^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{c^{- 3} d b^{2}}$

Move $c^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{c^{3}}{d b^{2}}$