4i^-32

<-- Enter i raised to a power such as i^4 or a coefficient and i raised to a power such as 6i^7 or a product such as 3i^4 * 8i^6

We need to evaluate and simplify 4i-32 where i = √-1

Since the power you entered of -32 is > 4, then we see how many i4 factors we can factor out:
i-32 = (i4)-8

First calculate i4:
i4 = i * i * i * i
i4 = √-1 * √-1 * √-1 * √-1
i4 = (√-1)2 * (√-1)2
i4 = -1 * -1
i4 = 1

Now substitute our i4 value back in the equation:
i -32 = (1)-8 <--- i4 = 1
i -32 = 1/(18) <--- Convert negative power by taking 1 over the term
i -32 = 1/1
i -32 = 1

Multiply our result by our coefficient of 4
4(1) = 4