Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)
- \(\frac{2}{5}\)
- \(\frac{3}{5}\)
- \(\frac{5}{2}\)
-
\(\frac{5}{3}\)
The correct answer is: 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 .