Solve 3/2(xy)^2div(1/2xy^2)

$$\frac { 3 } { 2 } ( x y ) ^ { 2 } \div ( \frac { 1 } { 2 } x y ^ { 2 } )$$

Evaluate

$$3x$$

Solution Steps

Expand \left(xy\right)^{2}.

$$\frac{\frac{3}{2}x^{2}y^{2}}{\frac{1}{2}xy^{2}}$$

Cancel out xy^{2} in both numerator and denominator.

$$\frac{\frac{3}{2}x}{\frac{1}{2}}$$

Divide \frac{3}{2}x by \frac{1}{2} by multiplying \frac{3}{2}x by the reciprocal of \frac{1}{2}.

$$\frac{3}{2}x\times 2$$

Multiply \frac{3}{2} and 2 to get 3.

$$3x$$

Expand

$$3x$$

Solution Steps

Expand \left(xy\right)^{2}.

$$\frac{\frac{3}{2}x^{2}y^{2}}{\frac{1}{2}xy^{2}}$$

Cancel out xy^{2} in both numerator and denominator.

$$\frac{\frac{3}{2}x}{\frac{1}{2}}$$

Divide \frac{3}{2}x by \frac{1}{2} by multiplying \frac{3}{2}x by the reciprocal of \frac{1}{2}.

$$\frac{3}{2}x\times 2$$

Multiply \frac{3}{2} and 2 to get 3.

$$3x$$