Solve frac 27 125 - frac 1 3 x frac 4 9 frac 1 2 - WAEC Mathematics 2012 Question

Solve ((\frac{27}{125}))^{-(\frac{1}{3})} x ((\frac{4}{9}))^{(\frac{1}{2})}

\(\frac{10}{9}\)

\(\frac{9}{10}\)

\(\frac{2}{5}\)

\(\frac{12}{125}\)

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Correct Option: A

((\frac{27}{125}))^{-(\frac{1}{3})} x ((\frac{4}{9}))^{(\frac{1}{2})}

= ((\frac{3^3}{5^3}))^{-(\frac{1}{3})}_{-(\frac{1}{3})} x ((\frac{3^2}{3^2}))^{(\frac{1}{2})} _{-(\frac{1}{2})}

= (\frac{3^{-1}}{3^{-1}} \times \frac{2}{3})

= (\frac{\frac{1}{3}}{\frac{1}{5}} \times \frac{2}{3})

(\frac{1}{3} \times \frac{5}{1} \times {2}{3} = \frac{10}{9})

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