There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
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Answer: third option.
Step-by-step explanation:
You know that:
- There are 10⁹ bytes in a gigabyte.
- There are 10⁶ bytes in a megabyte.
Then, to know how many times greater the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.
Remember the quotient of powers property:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Then:
[tex]=\frac{10^9}{10^6}=10^3=1,000[/tex] times greater