The book lacks any explanation of how to do this or what it means.

"Express as a sum of terms of the form ax^r, where r is a rational number"

1. (4x^2 - x + 5) / x^(2/3)

2. (x^2 + 2)^2 / x^5

The answers given are:

1. 4x^(4/3) - x^(1/3) + 5x^-(2/3)

2. x^-1 + 4x^-3 + 4x^-5

I haven't the faintest idea of how to begin this or how the answers were derived. Help would be appreciated.

Thanks