Mathematics

Problem

Consider the following three numbers:

P = 32^{3/5},\; Q = 4^{3/2},\; R = 2^{4}

. Answer the questions below. a. (i) Express each of

P,\, Q,\, R

as a single power of

2

with a positive integer exponent. b. (ii) Arrange

P,\, Q,\, R

in ascending order, giving reasons for your answer.