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Popular >

simplify i^{999}

Solution

simplify

i^{999}

Solution

- i

Solution steps

i^{999}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{999} = i^{998} i

= i^{998} i

Simplify

i^{998} : (- 1)^{499}

= (- 1)^{499} i

Simplify

(- 1)^{499} i : - i

= - i

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Frequently Asked Questions (FAQ)

What is i^{999} ?
The solution to i^{999} is -i