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

Simplify 25\(\frac{1}{2}\) x 8\(\frac{-2}{3}\)
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  • A 1\(\frac{1}{4}\)
  • B 2\(\frac{1}{4}\)
  • C 6
  • D 10
Correct Answer: Option A
Explanation:
Using law of indices
25\(\frac{1}{2}\) x 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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