Simplify (v^-3wx^2)/(wy^-6)

$\frac{v^{- 3} w x^{2}}{w y^{- 6}}$

Step 1

Simplify.

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

$\frac{w x^{2}}{w y^{- 6} v^{3}}$

Move $y^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{w x^{2} y^{6}}{w v^{3}}$

Step 2

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{w x^{2} y^{6}}{w v^{3}}$

Rewrite the expression.

$\frac{x^{2} y^{6}}{v^{3}}$