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

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

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Tringa0 Tringa0 · Answer 2 · 2019-06-24T06:43:09+02:00

Answer:

[tex] 2^{10} kilobyte[/tex] are in a 1 megabyte.

Explanation:

Given : 1 kilobyte = [tex]2^{10} bytes[/tex]..(1)

1 mega bytes = [tex]2^{20} bytes [/tex]..(2)

To find: 1 megabytes = ? kilobytes

Solution:

Divide (1) and (2) :

[tex]\frac{1 kilobyte}{1 megabyte}=\frac{2^{10} bytes}{2^{20} bytes}[/tex]

Using identuty :[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]\frac{1 kilobyte}{1 megabyte}=2^{10-20}=2^{-10}[/tex]

[tex]\frac{1 kilobyte}{2^{-10}}=1 megabyte[/tex]

[tex]1 megabyte=2^{10} kilobyte[/tex]

[tex] 2^{10} kilobyte[/tex] are in a 1 megabyte.