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Select all the expressions that are equivalent to 10^{-6} / 5^{-6}.

Select all the expressions that are equivalent to 10^{-6} / 5^{-6}.

Answer

Solution: Simplify the expression:

\( \frac{10^{-6}}{5^{-6}} = 10^{-6} \times 5^{6} = (2 \times 5)^{-6} \times 5^{6} = 2^{-6} \).

Therefore, the equivalent expressions are:

  1. \( 2^{-6} \)
  2. \( \frac{1}{2^{6}} \)

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