# Use rational exponents to write a single radical expression left(sqrt[3]{x^{2}y^{5}}right)^{12}

Use rational exponents to write a single radical expression ${\left(\sqrt[3]{{x}^{2}{y}^{5}}\right)}^{12}$
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Isma Jimenez
${\left(\sqrt[3]{{x}^{2}{y}^{5}}\right)}^{12}$
$\sqrt[3]{a}$
Can be written is $\left(a{\right)}^{\frac{1}{3}}$
Using

$={x}^{8}{y}^{20}$

$=\sqrt{{x}^{16}{y}^{40}}$
Finnaly answer is $\sqrt{{x}^{16}{y}^{40}}$
Jeffrey Jordon