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Popular >

simplify (\sqrt[4]{-1})^8

Solution

simplify

Solution

1

Solution steps

Apply radical rule:

= ((- 1)^{\frac{1}{4}})^{8}

Apply exponent rule:

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

= (- 1)^{\frac{1}{4} \cdot 8}

\frac{1}{4} \cdot 8 = 2

= (- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 1)^{2} = 1^{2}

= 1^{2}

Apply rule

1^{a} = 1

= 1

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{-1})^8 ?
The solution to (\sqrt[4]{-1})^8 is 1