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

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

  • 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}) × 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})

  Answer is A

There is an explanation video available below.

Explanation Video