6sprt64^6b^-2
Simplify the following:
(6 (sqrt(64))^6)/(b^2)
Multiply exponents. (sqrt(64))^6 = 64^(6/2):
6/b^2 64^(6/2)
The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
(6×64^3)/b^2
64^3 = 64×64^2:
(6×64×64^2)/b^2
(6×64×4096)/b^2
64×4096 = 262144:
(6×262144)/b^2
6×262144 = 1572864:
Answer: |1572864/b^2
