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What is the result of \(25 \times 2.5 \times 0.25 \times 0.025\)?

  • A.0.390625
  • B.3.90625
  • C.0.0390625
  • D.39.0625

Answer: A

We are multiplying powers of 25 with different decimal places.

The expression can be written as \(25^1 \times (25 \times 10^{-1}) \times (25 \times 10^{-2}) \times (25 \times 10^{-3})\).

This is equal to \(25^4 \times 10^{-1-2-3} = 25^4 \times 10^{-6}\).

\(25^2 = 625\).

\(25^4 = (25^2)^2 = 625^2 = 390625\).

So, the result is \(390625 \times 10^{-6} = 0.390625\).

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