i^50

<-- 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 i50 where i = √-1

Since the power you entered of 50 is greater 4, then we see how many i4 factors we can factor out:
i50 = (i48)(i2)
i50 = ((i4)12)(i2)

First calculate i4:
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 50 = (112)(i2) <--- i4 = 1
i 50 = 1(i2)

Now calculate i2:
i2 = √-1 * √-1
i2 = √-12
i2 = -1

Now, finish up and evaluate our product:
i50 = 1 * -1 <--- i2 = -1
i50 = -1

i50 = -1