Find the Domain evaluete-2*-2+((-1)^2-2)^3

Problem

−2⋅−2+((−1)2−2)3

Solution

1. Identify the domain of the expression. Since the expression consists only of constants and basic arithmetic operations (multiplication, addition, subtraction, and integer powers), there are no variables or operations that could result in undefined values (like division by zero or square roots of negative numbers).

2. Determine the domain. The domain is the set of all real numbers, denoted as ℝ

3. Evaluate the exponent inside the parentheses. Calculate (−1)2

(−1)2=1

4. Simplify the expression inside the parentheses. Subtract 2 from the result of the previous step.

1−2=−1

5. Apply the outer exponent. Raise the result to the power of 3.

(−1)3=−1

6. Multiply the first two terms of the original expression.

−2⋅−2=4

7. Combine the results. Add the product from step 6 to the result from step 5.

4+(−1)=3

Final Answer

−2⋅−2+((−1)2−2)3=3

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