Evaluate (frac{(81)^{frac{3}{4}} – (27)^{frac{1}{3}}}{3 times 2^3})
-
A.
27 -
B.
1 -
C.
(frac{1}{3}) -
D.
(frac{1}{8})
Correct Answer: Option B
Explanation
(frac{(81)^{frac{3}{4}} – (27)^{frac{1}{3}}}{3 times 2^3})
= (frac{(3^{4})^{frac{3}{4}} – (3^{3})^{frac{1}{3}}}{3 times 2^{3}})
= (frac{3^{3} – 3^{1}}{24})
= (frac{27 – 3}{24} = 1)