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Popular >

simplify \sqrt[5]{11^2}

Solution

simplify

5 1 1^{2}

Solution

1 1^{\frac{2}{5}}

+1

Decimal

2.60949 \dots

Solution steps

5 1 1^{2}

Apply radical rule:

n a = a^{\frac{1}{n}}

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{11^2} ?
The solution to \sqrt[5]{11^2} is 11^{2/5}