Question

If i equals the square root of -1, what is the value of i to the power of 3

Answer 1

We know that

`i=√(-1)`

Then, we elevate each side to the third power

`i^3=(√(-1))^3`

We have to use the following power property

`(√(a))^b=√(a^b)`

So, we have

`\begin{gathered} i^3=√((-1)^3) \\ i^3=√(-1) \end{gathered}`

Since the cubic power of -1 is actually -1.

Therefore, the answer is

`i^3=√(-1)`