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
\(\frac{5}{3}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)
= \((\sqrt[4]{81})^{-3} \times \sqrt{25} \times (\sqrt[5]{243})^2\)
= \(\frac{5 \times 3^2}{3^{3}}\)
= \(\frac{5}{3}\)
Source: Myschool Past Questions Archive (Record #55069)