Question

How do you evaluate `64^ { \frac { 2} { 3} }`?

Answer 1

`64^(2/3) = 16`

Explanation:

Notice that: `64 =2^6`

Hence `64^(2/3) = (2^6)^(2/3)`

Using the rule of indices: `(a^m)^n = a^(mxxn)`

`64^(2/3) = 2^(6xx2/3)`

`= 2^(2xx2) = 2^4 = 16`