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(-10)xx(-10)xx(-10)xx(-10)=10^(-4)...

`(-10)xx(-10)xx(-10)xx(-10)=10^(-4)`

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To determine whether the statement \((-10) \times (-10) \times (-10) \times (-10) = 10^{-4}\) is true or false, we will simplify the left-hand side step by step. ### Step-by-Step Solution: 1. **Identify the expression on the left-hand side:** \[ (-10) \times (-10) \times (-10) \times (-10) \] 2. **Group the terms:** We can rewrite the expression as: \[ (-10)^4 \] 3. **Calculate \((-10)^4\):** When we raise a negative number to an even power, the result is positive. Thus: \[ (-10)^4 = 10^4 \] 4. **Now, compare with the right-hand side:** The right-hand side of the equation is: \[ 10^{-4} \] 5. **Evaluate the comparison:** We know that: \[ 10^4 \neq 10^{-4} \] 6. **Conclusion:** Since \(10^4\) is not equal to \(10^{-4}\), we conclude that: \[ (-10) \times (-10) \times (-10) \times (-10) \neq 10^{-4} \] ### Final Answer: The statement is **false**. ---
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