Question

How do you evaluate and simplify `25^(3/2)`?

Answer 1

`25^(3/2) = 125`

Explanation:

For any Real numbers `a`, `b`, `c` with `a > 0` we find:

`a^(bc) = (a^b)^c`

In our example, `25 = 5^2`, so we find:

`25^(3/2) = (5^2)^(3/2) = 5^(2*3/2) = 5^3 = 125`