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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
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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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