Evaluate (frac{8^{frac{1}{3}} times 5^{frac{2}{3}}}{10^{frac{2}{3}}}) = (frac{8^{frac{1}{3}} times 5^{frac{2}{3}}}{10^{frac{2}{3}}})
-
A.
(frac{2}{5}) -
B.
(frac{5}{3}) -
C.
3(sqrt{5}) -
D.
3(sqrt{2})
Correct Answer: Option D
Explanation
(frac{8^{frac{1}{3}} times 5^{frac{3}{2}}}{frac{2}{10^3}}) = (frac{(2^3)^{frac{1}{3}} times 5^{frac{3}{2}}}{(2 times 5)^{frac{2}{3}}})
= (frac{2 times 5}{2^{frac{2}{3}} times 5^{frac{3}{2}}})
= 21 – (frac{2}{3})
= 2(frac{1}{3})
= 3(sqrt{2})