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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