What is (\sqrt[5]{3k})^8 ?

The solution to (\sqrt[5]{3k})^8 is 3\sqrt[5]{3^3}\sqrt[5]{k^8}

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simplify (\sqrt[5]{3k})^8

simplify

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

3 \cdot 3^{\frac{3}{5}} = 3^{1 + \frac{3}{5}}

3^{1 + \frac{3}{5}} = 3 \cdot 3^{\frac{3}{5}}

Simplify

= 3^{\frac{3}{5}} \cdot 3 k^{\frac{8}{5}}

3^{\frac{3}{5}} \cdot 3 = 3^{\frac{8}{5}}

= 3^{\frac{8}{5}} k^{\frac{8}{5}}

3^{\frac{8}{5}} = 3 \cdot 3^{\frac{3}{5}}

= 3 \cdot 3^{\frac{3}{5}} k^{\frac{8}{5}}

3 (3)^{3} e^{- 3}

e^{- 5 x} \cdot e^{- 5 x}

1.4 \cdot 1 0^{- 11}

What is (\sqrt[5]{3k})^8 ?
The solution to (\sqrt[5]{3k})^8 is 3\sqrt[5]{3^3}\sqrt[5]{k^8}