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Popular >

simplify (\sqrt[4]{-2})^4

Solution

simplify

Solution

- 2

Solution steps

Apply radical rule:

= ((- 2)^{\frac{1}{4}})^{4}

Apply exponent rule:

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

= (- 2)^{\frac{1}{4} \cdot 4}

\frac{1}{4} \cdot 4 = 1

= - 2

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{-2})^4 ?
The solution to (\sqrt[4]{-2})^4 is -2