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Evaluate frac 81 frac 3 4 -27 frac 1 3 3 times ... - JAMB Mathematics 2005 Question

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)
A
3
B
1
C
1/3
D
1/8
correct option: b
\(\frac{81^{\frac{3}{4}}-27^{\frac{1}{3}}}{3 \times 2^3} = \frac{(3^{3-\frac{3}{4}}-3^{3-\frac{3}{4}})}{3\times 2^3}\=\frac{3^3 - 3}{3 \times 8}\=\frac{27-3}{24}\=\frac{24}{24}\=1\)
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