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  • 26-05-2022
  • Mathematics
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You send an email with a file size of 4 kilobytes. One kilobyte is 2^{10} bytes. What is the file size of your email in bytes? Write your answer as a power.

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  • 26-05-2022

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

[tex]a^x + a^y = a^{x+y}[/tex]

4 KB = 2²⁺¹⁰ B = 2¹² B

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