Express in simplest radical form. Do NOT give decimal approximations.

Question

1. n^3/4 p^5/4

2. (3r)^2/5 s^3/5

3. (1/32)^0.2

4. 140^-1/2

Answer 1

fractional exponents are roots, where the radical index is the denominator. So, you have

n^3/4 p^5/4
= (n^3 p^5)^1/4
= ∜(n^3 p^5)
or, if you want proper fractions for the roots,
= p∜(n^3 p)