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Popular >

simplify (\sqrt[5]{3})^4

Solution

simplify

Solution

3^{\frac{4}{5}}

+1

Decimal Notation

2.40822 \dots

Solution steps

Apply radical rule:

= (3^{\frac{1}{5}})^{4}

Apply exponent rule:

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

= 3^{\frac{1}{5} \cdot 4}

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

= 3^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{3})^4 ?
The solution to (\sqrt[5]{3})^4 is 3^{4/5}