Question
Evaluate the expression. – 13+(–12 – 12÷ – 2)^2
Answers
GPT-4o mini
To evaluate the expression \(- 13 + (-12 - 12 \div - 2)^2\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
1. **Divide**: First, we handle the division inside the parentheses:
\[
12 \div -2 = -6
\]
So the expression inside the parentheses now looks like:
\[
-12 - (-6)
\]
2. **Subtract**: Now we simplify further:
\[
-12 - (-6) = -12 + 6 = -6
\]
3. **Square**: Next, we square the result:
\[
(-6)^2 = 36
\]
4. **Add and Subtract**: Finally, we substitute back into the original expression:
\[
-13 + 36
\]
Now, perform the addition:
\[
-13 + 36 = 23
\]
Therefore, the value of the expression \(-13 + (-12 - 12 \div -2)^2\) is \(\boxed{23}\).
1. **Divide**: First, we handle the division inside the parentheses:
\[
12 \div -2 = -6
\]
So the expression inside the parentheses now looks like:
\[
-12 - (-6)
\]
2. **Subtract**: Now we simplify further:
\[
-12 - (-6) = -12 + 6 = -6
\]
3. **Square**: Next, we square the result:
\[
(-6)^2 = 36
\]
4. **Add and Subtract**: Finally, we substitute back into the original expression:
\[
-13 + 36
\]
Now, perform the addition:
\[
-13 + 36 = 23
\]
Therefore, the value of the expression \(-13 + (-12 - 12 \div -2)^2\) is \(\boxed{23}\).