Q. The number $2^{2 l o g_{2} (3^{3 l o g_{3} 4})}$ simplifies as

420 158 Continuity and Differentiability Report Error

A

12

B

24

C

4096

D

65536

Solution:

$2^{l o g_{2} (3^{l o g_{3} 4^{3}})^{2}} = 2^{l o g_{2} (64)^{2}} = (64)^{2} = 4096$