Question 11

loading...

Prev/Next links

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: 

$\begin{align}  & \frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}=\frac{{{64}^{\tfrac{1}{2}}}-{{27}^{\tfrac{1}{3}}}}{27-{{64}^{\tfrac{2}{3}}}} \\ & =\frac{8-3}{27-16} \\ & =\frac{5}{11} \end{align}$

maths year: 
maths topics: