If x = 64 and y = 27, evaluate: \(\frac{x^{\frac{1}{2}} – y^{\frac{1}{3}}}{y – x^{\frac{2}{3}}}\)
- 2\(\frac{1}{5}\)
- 1
-
\(\frac{5}{11}\)
- \(\frac{11}{43}\)
The correct answer is: C
Explanation
\(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)substitute x = 64 and y = 27
\(\frac{64^{\frac{1}{2}} - 27^{\frac{1}{3}}}{27 - 64^{\frac{2}{3}}} = \frac{\sqrt{64} - 3\sqrt{27}}{27 - (3\sqrt{64})^2}\)
= \(\frac{8 - 3}{27 - 16}\)
= \(\frac{5}{11}\)