Question

Question 3 of 10
What is i^30?
O A. -1
B. -1
C. i
O D. 1
SUB

Answer 1

-1

Explanation:

Rewrite

`i^3^0` as
`(i^4)^7i^2.`

Factor out
`i^2^8.`

`i^2^8i^2`

Rewrite
`i^2^8` as
`(i^4)^7`

Rewrite
`i^4` as
`1`

Rewrite
`i^4` as
`(i^2)^2.`

`((i^2)^2)^7i^2`

Rewrite
`i^2` as
`-1.`

Raise -1 to the power of 2.

`1^7i^2.`

One to any power is one.

`1i^2`

Multiply
`i^2` by 1.

Rewrite
`i^2` as -1

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