To determine which of the expressions are equivalent to \(10^{-3}\):
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\(−3 \cdot −3 \cdot −3 \cdot −3 \cdot −3 \cdot −3 \cdot −3 \cdot −3 \cdot −3 \cdot −3\): This expression represents \((-3)^{10}\), which is not equivalent to \(10^{-3}\).
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\(1000\): This is \(10^3\), which is not equivalent to \(10^{-3}\).
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\(11000\): This is not equivalent to \(10^{-3}\).
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\(1 \text{ over } 1000\): This is \(\frac{1}{1000} = \frac{1}{10^3} = 10^{-3}\). This is equivalent to \(10^{-3}\).
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\(1/10^3\): This is the same as \(\frac{1}{1000}\) which is equivalent to \(10^{-3}\).
Thus, the expressions that are equivalent to \(10^{-3}\) are:
- \(1 \text{ over } 1000\)
- \(1/10^3\)