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

Answer:

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 = $size of 1 kilobyte \times size of 1 gigabyte$

$Size of 1 terabyte = 2^{10} \times 2^{30}$

Using law of exponent for multiplication, that is $a^{m} \times a^{n}=a^{m+n}$ ,we get

Size of 1 terabyte = $2^{10+30} = 2^{40}$

Hence size of 1 terabyte is $2^{40}$