N7: calculate with roots, and with integer and fractional indices

What are fractional indices?

When the indices is a fraction, the denominator is the root of the number, and the numerator is the power of the number

(√4)³

Step 1: √4=2

Step 2: 2³=8

Answer=8

What is 8^5/3

Step 1: 3√8=2

Step 2: 2^5=2×2×2×2×2=32

Answer=32

3√64

Although √64=8, 3√64=4 because 4×4=16×4=64

Answer=4