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Popular >

simplify i+i^2+i^3+i^4

Solution

simplify

i + i^{2} + i^{3} + i^{4}

Solution

0

Solution steps

i + i^{2} + i^{3} + i^{4}

i^{2} = - 1

i^{3} = - i

i^{4} = 1

= i - 1 - i + 1

Group like terms

= i - i - 1 + 1

Add similar elements:

i - i = 0

= - 1 + 1

Add the numbers:

- 1 + 1 = 0

= 0

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Frequently Asked Questions (FAQ)

What is i+i^2+i^3+i^4 ?
The solution to i+i^2+i^3+i^4 is 0