Simplify 81(^{frac{-3}{4}}) x 25(^{frac{1}{2}}) x 243(^{frac{2}{5}})
-
A.
(frac{2}{5}) -
B.
(frac{3}{5}) -
C.
(frac{5}{2}) -
D.
(frac{5}{3})
Correct Answer: Option D
Explanation
81(^{frac{-3}{4}}) x 25(^{frac{1}{2}}) x 243(^{frac{2}{5}})
= ((sqrt[4]{81})^{-3} times sqrt{25} times (sqrt[5]{243})^2)
= (frac{5 times 3^2}{3^{3}})
= (frac{5}{3})
There is an explanation video available below.