waecmaths question:
If x = 64 and y = 27, evaluate $\frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}$
Option A:
$2\tfrac{1}{5}$
Option B:
1
Option C:
$\tfrac{5}{11}$
Option D:
$\tfrac{11}{43}$
waecmaths solution:
$\begin{align} & \frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}=\frac{{{64}^{\tfrac{1}{2}}}-{{27}^{\tfrac{1}{3}}}}{27-{{64}^{\tfrac{2}{3}}}} \\ & =\frac{8-3}{27-16} \\ & =\frac{5}{11} \end{align}$
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