To simplify the expression \(-3 \times 3 \times (-3) \times (-3)\), we can calculate it step by step.
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Start with the first two numbers: \[ -3 \times 3 = -9 \]
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Now take the result and multiply it by the next number: \[ -9 \times (-3) = 27 \quad (\text{since multiplying two negative numbers results in a positive number}) \]
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Finally, multiply the last number: \[ 27 \times (-3) = -81 \]
Thus, the product of the expression \(-3 \times 3 \times (-3) \times (-3)\) is \(\boxed{-81}\).