Question

How many kilobytes are in in 1 terabyte if a terabyte is 2^40 and kilobyte is 2^10

Answer 1

Answer:

There are $2^{30}$ kilobytes in a Terabyte

Step-by-step explanation:

If one Terabyte is $2^{40}$ bytes and one kilobyte is $2^{10}$ bytes, then, by simple quotient we can find how many kilobytes are in one Terabyte:

$\frac{2^{40}}{2^{10}} = 2^{30}$

Notice that in the numerator we have 40 factors of "2", while in the denominator we have 10 factors of "2". So we can cancel just 10 common in denominator and numerator and end up with 30 factors of "2" left in the numerator.

On can also use the "properties of exponents" to simplify exponents with the same base.