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

`2^(10) kilobyte` are in a 1 megabyte.

Step-by-step 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) :

`(1 kilobyte)/(1 megabyte)=(2^(10) bytes)/(2^(20) bytes)`

Using identuty :
`(a^m)/(a^n)=a^(m-n)`

`(1 kilobyte)/(1 megabyte)=2^(10-20)=2^(-10)`

`(1 kilobyte)/(2^(-10))=1 megabyte`

`1 megabyte=2^(10) kilobyte`

`2^(10) kilobyte` are in a 1 megabyte.

Answer 2

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