GMAT Question of the Day

Which of the two numbers is greater, 2^300 or 3^200 ?
(a) 2^300
(b) 3^200
(c) Both are equal
(d) Not possible with out calc

We can write 2^300 as (2^3)^100 and 3^200 as (3^2)^100.

So compare 8^100 and 9^100.

Hence answer is B.