Answer:
In computer technology, a kilobyte is [tex]2^{10}[/tex] .A gigabyte is [tex]2^{30}[/tex] in size.The size of 1 terabyte is [tex]2^{40}[/tex]
Solution:
Given that a computer technology has:
Size of 1 kilobyte = [tex]2^{10}[/tex]
Size of 1 gigabyte = [tex]2^{30}[/tex]
Given that size of terabyte is the product of the size of kilobyte and the size of a gigabyte.
So size of 1 terabyte = [tex]size of 1 kilobyte \times size of 1 gigabyte[/tex]
[tex]Size of 1 terabyte = 2^{10} \times 2^{30}[/tex]
Using law of exponent for multiplication, that is [tex]a^{m} \times a^{n}=a^{m+n}[/tex] ,we get
Size of 1 terabyte = [tex]2^{10+30} = 2^{40}[/tex]
Hence size of 1 terabyte is [tex]2^{40}[/tex]
