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Popular >

simplify \sqrt[5]{253}^2

Solution

simplify

Solution

25 3^{\frac{2}{5}}

+1

Decimal Notation

9.14635 \dots

Solution steps

Apply radical rule:

= (25 3^{\frac{1}{5}})^{2}

Apply exponent rule:

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

= 25 3^{\frac{1}{5} \cdot 2}

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

= 25 3^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{253}^2 ?
The solution to \sqrt[5]{253}^2 is 253^{2/5}