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aleksandrvk [35]
3 years ago
13

A kilobyte is 210. A megabyte is 220 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find you

r answer and give your answer in exponential form
Chemistry
2 answers:
Sedaia [141]3 years ago
8 0
<span>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
</span>
hope this helps
Otrada [13]3 years ago
3 0

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.

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