The new internet speed is 8000 times greater than the old speed.
Explanation
An office upgrades its internet speed from [tex]20^3 bits/second[/tex] to [tex]20^6 bits/second[/tex].
For finding the number of times, the new speed is greater, we will just divide the new internet speed by the old internet speed.
So, [tex]\frac{20^6 bits/second}{20^3 bits/second}= 20^(^6^-^3^)= 20^3=8000[/tex]
Thus, the new internet speed is 8000 times greater than the old speed.