Simplify left frac 16 81 right - frac 3 4 times... - WAEC Mathematics 2000 Question
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)
A
\(\frac{80}{243}\)
B
\(\frac{1}{64}\)
C
\(\frac{25}{6}\)
D
\(\frac{15}{4}\)
correct option: d
\(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\
\frac{1}{\left(\sqrt[4]{\frac{16}{81}}\right)^3}\times \frac{10}{9}=\frac{1}{\left(\frac{2}{3}\right)^3}\times\frac{10}{9}\
=\frac{27}{8}\times \frac{10}{9}=\frac{15}{4}\)
\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}\)
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