Simplifying Exponential Functions

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Math › Simplifying Exponential Functions

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$\textup{Which of the following expressions is equivalent to }\sqrt{\frac{x^{4}y^{11}z^{5}}{x^{2}y^{5}z^{7}}} \textup{ ?}$

$\frac{xy^{3}}{z}$

$\frac{xy^{4}}{z}$

$\frac{xy^{3}}{z^{2}}$

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

$\textup{None of the other answers}$

$\textup{Reduce the fraction by subtracting exponents, then halve all exponents to find the square root.}$

$\sqrt{\frac{x^{4}y^{11}z^{5}}{x^{2}y^{5}z^{7}}} =\sqrt{\frac{x^{2}y^{6}}{z^{2}}}::=\frac{xy^{3}}{z}$