# How do you find the quotient of x^5/ydivx/y^2?

Dec 24, 2016

${x}^{5} / y \div \frac{x}{y} ^ 2 = {x}^{4} y$

#### Explanation:

${x}^{5} / y \div \frac{x}{y} ^ 2$

=${x}^{5} / y \ast {y}^{2} / x$

=$\frac{{x}^{5} {y}^{2}}{x y}$

=${x}^{5 - 1} {y}^{2 - 1} \rightarrow$Apply quotient law of indices.

=${x}^{4} y$