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Popular >

simplify i^{200}

Solution

simplify

i^{200}

Solution

1

Solution steps

i^{200}

Apply exponent rule:

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

i^{200} = (i^{2})^{100}

= (i^{2})^{100}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{100}

(- 1)^{100} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^{200} ?
The solution to i^{200} is 1