Question 2

waecmaths question: 

 Evaluate ${{(0.064)}^{-\tfrac{1}{3}}}$

Option A: 

$\tfrac{5}{2}$

Option B: 

$\tfrac{2}{5}$

Option C: 

$-\tfrac{2}{5}$

Option D: 

$-\tfrac{3}{2}$

waecmaths solution: 

$\begin{align}  & {{(0.064)}^{-\tfrac{1}{3}}}={{\left( \frac{64}{1000} \right)}^{-\tfrac{1}{3}}}={{\left( \frac{{{4}^{3}}}{{{10}^{3}}} \right)}^{-\tfrac{1}{3}}} \\ & {{(0.064)}^{-\tfrac{1}{3}}}={{\left[ {{\left( \frac{4}{10} \right)}^{3}} \right]}^{-\tfrac{1}{3}}}={{\left( \frac{4}{10} \right)}^{-1}} \\ & {{(0.064)}^{-\tfrac{1}{3}}}={{\left( \frac{2}{5} \right)}^{-1}}=\frac{5}{2} \\\end{align}$

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