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Popular >

simplify i^{102}

Solution

simplify

i^{102}

Solution

- 1

Solution steps

i^{102}

Apply exponent rule:

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

i^{102} = (i^{2})^{51}

= (i^{2})^{51}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{51}

(- 1)^{51} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is i^{102} ?
The solution to i^{102} is -1