Question

A kilobyte is 210. A megabyte is 220 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form

Answer 1

a kilobyte is 2^10 bytes
and you're converting 1 megabyte to kilobyte.

 
converting units that you learned in science class (1 megabyte / 1) * (2^20 bytes / 1 megabyte) * (1 kilobyte / 2^10 bytes)
 
megabyte and bytes cancels out and you're left with 2^20 kilobyte / 2^10 = 2^10 kilobyte

hope this helps

Answer 2

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.