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Popular >

simplify (\sqrt[5]{2})^4

Solution

simplify

Solution

2^{\frac{4}{5}}

+1

Decimal Notation

1.74110 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{5}})^{4}

Apply exponent rule:

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

= 2^{\frac{1}{5} \cdot 4}

\frac{1}{5} \cdot 4 = \frac{4}{5}

= 2^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{2})^4 ?
The solution to (\sqrt[5]{2})^4 is 2^{4/5}