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Popular >

simplify i^5+i^6+i^7+i^8

Solution

simplify

i^{5} + i^{6} + i^{7} + i^{8}

Solution

0

Solution steps

i^{5} + i^{6} + i^{7} + i^{8}

i^{5} = i

i^{6} = - 1

i^{7} = - i

i^{8} = 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^5+i^6+i^7+i^8 ?
The solution to i^5+i^6+i^7+i^8 is 0