Question

What is the radical expression of `4d ^(3/8)`?

Answer 1

`4d^(3/8) = 4*root8 (d^3) = 4*(root8 d)^3`

Explanation:

Recall a law of indices which deals with fractional indices.

`x^(p/q) = rootq x^p`

The numerator of the index indicates the power and the denominator indicates the root.

`4d^(3/8) = 4*root8 (d^3) = 4*(root8 d)^3`

Note 2 things:

• The index only applies to the base 'd', not to the 4 as well
• The power 3 can be under the root or outside the root