Simplify (5x^2y^-3)/(a^-3b^4)

$\frac{5 x^{2} y^{- 3}}{a^{- 3} b^{4}}$

Step 1

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

$\frac{5 x^{2}}{a^{- 3} b^{4} y^{3}}$

Step 2

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

$\frac{5 x^{2} a^{3}}{b^{4} y^{3}}$