Answer:
\(2^{10} kilobyte\) are in a 1 megabyte.
Explanation:
Given : 1 kilobyte = \(2^{10} bytes\)..(1)
1 mega bytes = \(2^{20} bytes\)..(2)
To find: 1 megabytes = ? kilobytes
Solution:
Divide (1) and (2) :
\(\frac{1 kilobyte}{1 megabyte}=\frac{2^{10} bytes}{2^{20} bytes}\)
Using identuty :\(\frac{a^m}{a^n}=a^{m-n}\)
\(\frac{1 kilobyte}{1 megabyte}=2^{10-20}=2^{-10}\)
\(\frac{1 kilobyte}{2^{-10}}=1 megabyte\)
\(1 megabyte=2^{10} kilobyte\)
\(2^{10} kilobyte\) are in a 1 megabyte.
