Consider the following three numbers:

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Consider the following three numbers: P=323/5,  Q=43/2,  R=24P = 32^{3/5},\; Q = 4^{3/2},\; R = 2^{4}. Answer the questions below. (i) Express each of P, Q, RP,\, Q,\, R as a single power of 22 with a positive integer exponent. (ii) Arrange P, Q, RP,\, Q,\, R in ascending order, giving reasons for your answer.

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