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Popular >

simplify (sqrt(-1))^{13}

Solution

simplify

(- 1)^{13}

Solution

i

Solution steps

(- 1)^{13}

Apply imaginary number rule:

- 1 = i

= i^{13}

Apply exponent rule:

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

i^{13} = i^{12} i

= i^{12} i

Simplify

i^{12} : (- 1)^{6}

= (- 1)^{6} i

Simplify

(- 1)^{6} i : i

= i

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^{13} ?
The solution to (sqrt(-1))^{13} is i