What is i^{13}+i^{14}+i^{15}+i^{16} ?

The solution to i^{13}+i^{14}+i^{15}+i^{16} is 0

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simplify i^{13}+i^{14}+i^{15}+i^{16}

simplify

i^{13} + i^{14} + i^{15} + i^{16}

0

Solution steps

i^{13} + i^{14} + i^{15} + i^{16}

i^{13} = i

i^{14} = - 1

i^{15} = - i

i^{16} = 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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72 p^{7}

What is i^{13}+i^{14}+i^{15}+i^{16} ?
The solution to i^{13}+i^{14}+i^{15}+i^{16} is 0