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Popular >

simplify (sqrt(-1))^4

Solution

simplify

(- 1)^{4}

Solution

1

Solution steps

(- 1)^{4}

Apply imaginary number rule:

- 1 = i

= i^{4}

Apply exponent rule:

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

i^{4} = (i^{2})^{2}

= (i^{2})^{2}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{2}

(- 1)^{2} = 1

= 1

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^4 ?
The solution to (sqrt(-1))^4 is 1