Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)
- \(\frac{80}{243}\)
- \(\frac{1}{64}\)
- \(\frac{25}{6}\)
-
\(\frac{15}{4}\)
The correct answer is: D
Explanation
\(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\\
\frac{1}{\left(\sqrt[4]{\frac{16}{81}}\right)^3}\times \frac{10}{9}=\frac{1}{\left(\frac{2}{3}\right)^3}\times\frac{10}{9}\\
= \frac{27}{8}\times \frac{10}{9} = \frac{15}{4}\)