What is (\sqrt[13]{3x^2y})^{11} ?

The solution to (\sqrt[13]{3x^2y})^{11} is 3^{11/13}(x^2y)^{11/13}

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simplify (\sqrt[13]{3x^2y})^{11}

simplify

3^{\frac{11}{13}} (x^{2} y)^{\frac{11}{13}}

Solution steps

Apply radical rule:

= ((3 x^{2} y)^{\frac{1}{13}})^{11}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (3 x^{2} y)^{\frac{1}{13} \cdot 11}

\frac{1}{13} \cdot 11 = \frac{11}{13}

= (3 x^{2} y)^{\frac{11}{13}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{\frac{11}{13}} (x^{2} y)^{\frac{11}{13}}

\frac{0.4 5 ^{2}}{2.1 7 ^{2}}

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e^{9 x} e^{8 x}

t \cdot cos (t) e^{- s t}

What is (\sqrt[13]{3x^2y})^{11} ?
The solution to (\sqrt[13]{3x^2y})^{11} is 3^{11/13}(x^2y)^{11/13}