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Popular >

simplify i^{2006}

Solution

simplify

i^{2006}

Solution

- 1

Solution steps

i^{2006}

Apply exponent rule:

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

i^{2006} = (i^{2})^{1003}

= (i^{2})^{1003}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{1003}

(- 1)^{1003} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is i^{2006} ?
The solution to i^{2006} is -1