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Popular >

simplify \sqrt[4]{(-5)}^4

Solution

simplify

Solution

- 5

Solution steps

Apply radical rule:

= (((- 5))^{\frac{1}{4}})^{4}

Apply exponent rule:

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

= ((- 5))^{\frac{1}{4} \cdot 4}

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

= ((- 5))

Remove parentheses:

(a) = a

= - 5

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(-5)}^4 ?
The solution to \sqrt[4]{(-5)}^4 is -5