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Popular >

simplify i^{500}

Solution

simplify

i^{500}

Solution

1

Solution steps

i^{500}

Apply exponent rule:

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

i^{500} = (i^{2})^{250}

= (i^{2})^{250}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{250}

(- 1)^{250} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^{500} ?
The solution to i^{500} is 1