Simplify (12x^3-16x^2y+3xy^2+9y^2)(2x^3y)^-1

$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{3} y)}^{- 1}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) \frac{1}{2 x^{3} y}$

Step 2

Multiply $12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}$ by $\frac{1}{2 x^{3} y}$ .

$\frac{12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}}{2 x^{3} y}$