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What are the powers of i^1, i^2, i^3, i^4, i^7, i^26 to?

What are the powers of i^1, i^2, i^3, i^4, i^7, i^26 to?-example-1
User Svrnm
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1 Answer

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The power of a number or term is the exponent.

The power of i^7 is 1

The power of i^2 is 2

The power of i^3 is 3

The power of i^4 is 4

The power of i^7 is 7

The power of i^26 is 26

Complex numbers arise when dealing with the square root of a negative number. It is represented with i

square root of -1 is written as i

Thus

1^2 = -1

i^7 = i^2 * i^2 * i^2 * i^1 = - 1 * - 1 * - 1 * i = - i

i^3 = i^2 * i = - 1 * 1 = - i

i^4 = i^2 * i^2 = - 1 * - 1 = 1

i^26 = i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 * i^2 = -1*-1*-1*-1*-1*-1*-1*-1*-1*-1*-1*-1*-1 = -1s

User BenjaminBihr
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