Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
MATHEMATICS
WAEC 1998
Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
- A. -3
- B. \(\frac{1}{9}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{27}{8}\)
Correct Answer: C. \(\frac{1}{3}\)
Explanation
\(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
\(\frac{2^2*3^{-3}}{4} = 3^{-1} = \frac{1}{3}\)
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