Mathematics

Problem

Three students wrote the sizes of their project files as exponential expressions:

A = 4^{5}\text{ KB},\; B = 8^{4}\text{ KB},\; C = 2^{12}\text{ KB}

. Answer the following questions. a. (i) Write each of

A,\, B,\, C

in the form

2^{n}

, where

n

is an integer. b. (ii) Arrange the sizes in descending order. c. (iii) By what factor (in terms of powers of

2

) is the largest file larger than the smallest file?