Hi Vincen,
When dealing with exponents in questions such as these, it's important to understand the 'magnitude' of each power and the meaning of the differences in the values.
For example 10^3 and 10^2 might 'look' similar, but they're really not "close":
10^3 = 1,000
10^2 = 100
10^3 - 10^2 = 900... meaning that the difference of those two numbers is actually far closer to 10^3 than you might initially realize. The same idea applies to this prompt.
11(10^10) - 4(10^4)
11(10^10) is 110,000,000,000
4(10^4) is 40,000
The difference of those numbers is 109,999,960,000, which is relatively close to 10^11
Final Answer: E
GMAT assassins aren't born, they're made,
Rich