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Popular >

simplify i^{312}

Solution

simplify

i^{312}

Solution

1

Solution steps

i^{312}

Apply exponent rule:

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

i^{312} = (i^{2})^{156}

= (i^{2})^{156}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{156}

(- 1)^{156} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^{312} ?
The solution to i^{312} is 1