Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
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Correct Answer: Option C
Explanation:
\(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
\(\frac{2^2*3^{-3}}{4} = 3^{-1} = \frac{1}{3}\)
\(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
\(\frac{2^2*3^{-3}}{4} = 3^{-1} = \frac{1}{3}\)