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: 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]