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Popular >

simplify (sqrt(-1))^5

Solution

simplify

(- 1)^{5}

Solution

i

Solution steps

(- 1)^{5}

Apply imaginary number rule:

- 1 = i

= i^{5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{5} = i^{4} i

= i^{4} i

Simplify

i^{4} : (- 1)^{2}

= (- 1)^{2} i

Simplify

(- 1)^{2} i : i

= i

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^5 ?
The solution to (sqrt(-1))^5 is i