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Popular >

simplify (sqrt(2))^{1/5}

Solution

simplify

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

Solution

2^{\frac{1}{10}}

+1

Decimal Notation

1.07177 \dots

Solution steps

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

Apply exponent rule:

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

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

\frac{1}{2} \cdot \frac{1}{5} = \frac{1}{10}

= 2^{\frac{1}{10}}

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Frequently Asked Questions (FAQ)

What is (sqrt(2))^{1/5} ?
The solution to (sqrt(2))^{1/5} is 2^{1/10}