Problem: The value of (256).16β (256).09(256)^{.16} \cdot(256)^{.09}(256).16β (256).09 is:
Answer Choices:
A. 444
B. 161616
C. 646464
D. 256.25256.25256.25
E. β16-16β16 Solution:
(256).16(256).09=(256).25=(256)1/4=4(256)^{.16}(256)^{.09}=(256)^{.25}=(256)^{1 / 4}=4(256).16(256).09=(256).25=(256)1/4=4