Final answer:The value of the expression -4²+(5-2)(-6) is -34 when following the standard rules of arithmetic.Explanation:The value of the expression −4²+(5−2)(−6) can be determined by first calculating the power and then performing the operations inside the parentheses, followed by the multiplication and addition/subtraction.The power of −4² is 16 because the negative sign is not inside the parentheses, so it is not squared, and 16 will be considered as a negative number here (-16).Next, we calculate the value within the parentheses (5−2), which gives us 3.Then we multiply 3 by −6, which equates to −18. Finally, we add the two results: −16 + (−18) = −16 −18 = −(16 + 18) = −(34), resulting in the value −34....

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