Four exponential numbers are given below:

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

Problem

Four exponential numbers are given below: A=210,  B=47,  C=85,  D=164A = 2^{10},\; B = 4^{7},\; C = 8^{5},\; D = 16^{4}. Answer the following. (i) Express each of A, B, C, DA,\, B,\, C,\, D as a power of 22. (ii) Arrange the numbers in ascending order, showing each step of your working. (iii) If the smallest number is taken as one unit, express each of the other three numbers as a multiple of this unit in terms of powers of 22."

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