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Popular >

simplify (sqrt(-1))^{11}

Solution

simplify

(- 1)^{11}

Solution

- i

Solution steps

(- 1)^{11}

Apply imaginary number rule:

- 1 = i

= i^{11}

Apply exponent rule:

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

i^{11} = i^{10} i

= i^{10} i

Simplify

i^{10} : (- 1)^{5}

= (- 1)^{5} i

Simplify

(- 1)^{5} i : - i

= - i

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^{11} ?
The solution to (sqrt(-1))^{11} is -i