JAMB - Mathematics (1995 - No. 6)

Evaluate \(\frac{(81)^{\frac{3}{4}} - (27)^{\frac{1}{3}}}{3 \times 2^3}\)
27
1
\(\frac{1}{3}\)
\(\frac{1}{8}\)

Explanation

\(\frac{(81)^{\frac{3}{4}} - (27)^{\frac{1}{3}}}{3 \times 2^3}\)

= \(\frac{(3^{4})^{\frac{3}{4}} - (3^{3})^{\frac{1}{3}}}{3 \times 2^{3}}\)

= \(\frac{3^{3} - 3^{1}}{24}\)

= \(\frac{27 - 3}{24} = 1\)

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