Solve 15x^3y^2div5x^2y^3

$$15 x ^ { 3 } y ^ { 2 } \div 5 x ^ { 2 } y ^ { 3 }$$

Evaluate

$$3\left(xy\right)^{5}$$

Solution Steps

Divide 15x^{3}y^{2} by 5 to get 3x^{3}y^{2}.

$$3x^{3}y^{2}x^{2}y^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$3x^{5}y^{2}y^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$3x^{5}y^{5}$$

Differentiate w.r.t. x

$$15x^{4}y^{5}$$