Rationalize the denominator and simplify.
-$\frac{\sqrt{\mathrm{x}^{5}}}{\sqrt{\mathrm{xy}^{8}}}$
A) $\frac{x^{2}}{y^{5}}$
B) $\frac{x^{2}}{y^{4}}$
C) $\frac{x^{3}}{y^{4}}$
D) $\frac{x^{3}}{x y^{4}}$

Question

Quizplus · Accepted Answer

Rationalizing the denominator and simplifying gives $\frac{\sqrt{x^5}}{\sqrt{xy^8}} = \frac{x^{5/2}}{x^{1/2}y^4} = \frac{x^{5/2 - 1/2}}{y^4} = \frac{x^2}{y^4}$.

Rationalize the Denominator and Simplify x5xy8\frac{\sqrt{\mathrm{x}^{5}}}{\sqrt{\mathrm{xy}^{8}}}xy8​x5​​ A) x2y5\frac{x^{2}}{y^{5}}y5x2​ B) x2y4\frac{x^{2}}{y^{4}}y4x2​ C) x3y4\frac{x^{3}}{y^{4}}y4x3​ D) x3xy4\frac{x^{3}}{x y^{4}}xy4x3​

Rationalize the Denominator and Simplify $\frac{\sqrt{\mathrm{x}^{5}}}{\sqrt{\mathrm{xy}^{8}}}$ A) $\frac{x^{2}}{y^{5}}$ B) $\frac{x^{2}}{y^{4}}$ C) $\frac{x^{3}}{y^{4}}$ D) $\frac{x^{3}}{x y^{4}}$