Simplify \((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)
- \(\frac{2}{3}\)
-
\(\frac{1}{2}\)
- \(\frac{8}{9}\)
- \(\frac{1}{3}\)
The correct answer is: B
Explanation
\((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)\((\frac{16}{81})^{\frac{1}{4}} \div (\frac{16}{9})^{\frac{1}{2}}\)
\((\frac{2^4}{3^4})^{\frac{1}{4}} \div (\frac{4^2}{3^2})^{\frac{1}{2}}\)
\(\frac{2^{4 \times \frac{1}{4}}}{3^{4 \times \frac{1}{4}}} \div \frac{4^{2 \times \frac{1}{2}}}{3^{2 \times \frac{1}{2}}}\)
\(\frac{2}{3} \div \frac{4}{3}\)
\(\frac{2}{3} \times \frac{3}{4}\)
\(\frac{2}{4}\)
\(\frac{1}{2}\)
There is an explanation video available .