1. Convert the 5th root of x^3 into a rational expression.

Question

2. Solve i^63

I don't know how to solve these so please help me!!!

Answer 1

x^(3/5)

i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
i^8 = 1
note pattern
i^64 = 1
and
i^63 = -i

Answer 2

Thank you so much. I understand it now!!

Answer 3

How did you get x^3/5?

Answer 4

fifth root of n = n^(1/5)

Answer 5

Thank you!!!