Simplify (a^-3x^2)/(a^-3b^-2x^2)

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

Step 1

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

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

Step 2

Cancel the common factor of $a^{- 3}$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{x^{2} b^{2}}{x^{2}}$

Step 3

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{x^{2} b^{2}}{x^{2}}$

Divide $b^{2}$ by $1$ .

$b^{2}$