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

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

Evaluate

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

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 -1.

$$3x^{5}y^{-1}$$

Differentiate w.r.t. x

$$\frac{15x^{4}}{y}$$