Solve (-3x^2)*(-xy^3)div3xy

$$( - 3 x ^ { 2 } ) \times ( - x y ^ { 3 } ) \div 3 x y$$

Evaluate

$$\left(xy\right)^{4}$$

Solution Steps

Cancel out 3 and 3.

$$-x^{2}\left(-x\right)y^{3}xy$$

Multiply -1 and -1 to get 1.

$$x^{2}xy^{3}xy$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y^{3}xy$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$x^{4}y^{3}y$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$x^{4}y^{4}$$

Differentiate w.r.t. x

$$4x^{3}y^{4}$$