Question

In computer technology, a kilobyte is 2^{10}. A gigabyte is 2^{30} in size. The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. What is the size of a terabyte?

Answer 1

In computer technology, a kilobyte is
`2^(10)` .A gigabyte is
`2^(30)` in size.The size of 1 terabyte is
`2^(40)`

Solution:

Given that a computer technology has:

Size of 1 kilobyte =
`2^(10)`

Size of 1 gigabyte =
`2^(30)`

Given that size of terabyte is the product of the size of kilobyte and the size of a gigabyte.

So size of 1 terabyte =
`size of 1 kilobyte * size of 1 gigabyte`

`Size of 1 terabyte = 2^(10) * 2^(30)`

Using law of exponent for multiplication, that is
`a^(m) * a^(n)=a^(m+n)` ,we get

Size of 1 terabyte =
`2^(10+30) = 2^(40)`

Hence size of 1 terabyte is
`2^(40)`