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Popular >

simplify (\sqrt[5]{27})^2

Solution

simplify

Solution

2 7^{\frac{2}{5}}

+1

Decimal Notation

3.73719 \dots

Solution steps

Apply radical rule:

= (2 7^{\frac{1}{5}})^{2}

Apply exponent rule:

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

= 2 7^{\frac{1}{5} \cdot 2}

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

= 2 7^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{27})^2 ?
The solution to (\sqrt[5]{27})^2 is 27^{2/5}