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Popular >

simplify i^{400}

Solution

simplify

i^{400}

Solution

1

Solution steps

i^{400}

Apply exponent rule:

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

i^{400} = (i^{2})^{200}

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

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{200}

(- 1)^{200} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^{400} ?
The solution to i^{400} is 1