What is (\sqrt[13]{3x^8y})^7 ?

The solution to (\sqrt[13]{3x^8y})^7 is 3^{7/13}(x^8y)^{7/13}

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simplify (\sqrt[13]{3x^8y})^7

simplify

3^{\frac{7}{13}} (x^{8} y)^{\frac{7}{13}}

Solution steps

Apply radical rule:

= ((3 x^{8} y)^{\frac{1}{13}})^{7}

Apply exponent rule:

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

= (3 x^{8} y)^{\frac{1}{13} \cdot 7}

\frac{1}{13} \cdot 7 = \frac{7}{13}

= (3 x^{8} y)^{\frac{7}{13}}

Apply exponent rule:

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

= 3^{\frac{7}{13}} (x^{8} y)^{\frac{7}{13}}

4 e^{2 t} \cdot 2 e^{2 t}

1.593 \cdot 1 0^{- 6}

3 e^{5 t} \cdot 6 e^{3 t}

e^{- 0.001 \cdot 200}

What is (\sqrt[13]{3x^8y})^7 ?
The solution to (\sqrt[13]{3x^8y})^7 is 3^{7/13}(x^8y)^{7/13}