What is i^7+i^8+i^9+i^{10} ?

The solution to i^7+i^8+i^9+i^{10} is 0

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simplify i^7+i^8+i^9+i^{10}

simplify

i^{7} + i^{8} + i^{9} + i^{10}

0

Solution steps

i^{7} + i^{8} + i^{9} + i^{10}

i^{7} = - i

i^{8} = 1

i^{9} = i

i^{10} = - 1

= - i + 1 + i - 1

Group like terms

= - i + i + 1 - 1

Add similar elements:

- i + i = 0

= 1 - 1

Subtract the numbers:

1 - 1 = 0

= 0

a (b - c)

- \frac{2}{3} x

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x}

\frac{0}{e ^{0}}

2^{- 5} \times 8^{3}