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Evaluate frac 27 frac 1 3 - 8 frac 2 3 16 frac ... - JAMB Mathematics 2016 Question

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
A
\(\frac{23}{5}\)
B
-\(\frac{23}{5}\)
C
\(\frac{1}{8}\)
D
\(\frac{21}{7}\)
correct option: c

(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2})

(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}) = (\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2})

(\frac{3 - 4}{4 \times 2})

= (\frac{-1}{8})

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