What is (\sqrt[0.2]{4x^{0.8}})^{0.2} ?

The solution to (\sqrt[0.2]{4x^{0.8}})^{0.2} is 4x^{0.8}

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simplify (\sqrt[0.2]{4x^{0.8}})^{0.2}

simplify

4 x^{0.8}

Solution steps

Apply radical rule:

= ((4 x^{0.8})^{\frac{1}{0.2}})^{0.2}

Apply exponent rule:

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

assuming

a \geq 0

= (4 x^{0.8})^{\frac{1}{0.2} \cdot 0.2}

\frac{1}{0.2} \cdot 0.2 = 1

= 4 x^{0.8}

6.75 \cdot 1 0^{- 3}

(2 sin (2 x))^{3}

a (x + 1)^{2} (x^{2} + 4)^{2}

33.2 \cdot 1 0^{- 2}

0.8 e^{- 3 (0.1)}

What is (\sqrt[0.2]{4x^{0.8}})^{0.2} ?
The solution to (\sqrt[0.2]{4x^{0.8}})^{0.2} is 4x^{0.8}