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Popular >

simplify \sqrt[5]{sqrt(-1)}

Solution

simplify

Solution

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= (- 1)^{\frac{1}{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{sqrt(-1)} ?
The solution to \sqrt[5]{sqrt(-1)} is \sqrt[10]{-1}