Question

In computer technology, a kilobyte is 2^10 bytes in size . A gigabyte is 2^30 bytes 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

kilobyte = 2^10 bytes
gigabyte = 2^30 bytes
terabyte is the product of a kilobyte and a gigabyte....so we multiply

2^10 * 2^30 = 2^(10 + 30) = 2^40 <== a terabyte

** exponent rule : a^b * a^c = a^(b + c)

Answer 2

`2^(40)`

Explanation:

In order to calculate this you just have to remember the law of the exponents, if two terms with a similar base and exponents are being added up the exponent remains the same, if two terms are being mulitplied with similar base its exponents are added up:

`2^(10)*2^(30)=2^(10+30) \\ 2^(40)`

So we know that the answer would be
`2^(40)`