Mathematics Past Questions and Answers

Simplify \((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)

If log₃18 + log₃3 - log₃x = 3, Find x.

Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)

Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?