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Simplify 25 frac 1 2 8 frac -2 3 - JAMB Mathematics 2018 Question

Simplify 25\(\frac{1}{2}\) × 8\(\frac{-2}{3}\)

A
1\(\frac{1}{4}\)
B
2\(\frac{1}{4}\)
C
6
D
10
correct option: a

Applying law of indices

25\(\frac{1}{2}\) × 8\(\frac{-2}{3}\)

  = √25 x (\(\sqrt[3]{8}\)) -2

  = 5 x 2-2

  = 5 x \(\frac{1}{2^2}\) =

 \(\frac{5}{4}\) = \(\frac{11}{4}\)

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