# Simplify the expression and eliminate any negative exponents(s). Assume that all

Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.
$\sqrt[6]{{y}^{5}}\sqrt[3]{{y}^{2}}$

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falhiblesw

The given expression is, $\sqrt[6]{{y}^{5}}\sqrt[3]{{y}^{2}}$
Simplify the expression using the laws of exponents as follows.
$\sqrt[6]{{y}^{5}}\sqrt[3]{{y}^{2}}={\left({y}^{5}\right)}^{\frac{1}{6}}{\left({y}^{2}\right)}^{\frac{1}{3}}$
$={y}^{\frac{5}{6}}{y}^{\frac{2}{3}}$
$={y}^{\frac{5}{6}+\frac{2}{3}}$
$={y}^{\frac{5+4}{6}}$
$={y}^{\frac{9}{6}}$
$={y}^{\frac{3}{2}}$
Thus, the simplified answer is ${y}^{\frac{3}{2}}$