Problem: Evaluate (xx)(xx)\left(x^{x}\right)^{\left(x^{x}\right)}(xx)(xx) at x=2x=2x=2.
Answer Choices:
A. 161616
B. 646464
C. 256256256
D. 102410241024
E. 655366553665536
Solution:
For x=2x=2x=2, the expression equals
(22)(22)=44=4â‹…4â‹…4â‹…4=256.\left(2^{2}\right)^{\left(2^{2}\right)}=4^{4}=4 \cdot 4 \cdot 4 \cdot 4=256. (22)(22)=44=4â‹…4â‹…4â‹…4=256.