Evaluating the Expression: (-9 + 1 + 1 × 3) ² + 6
In this article, we will evaluate the mathematical expression (-9 + 1 + 1 × 3) ² + 6
. This expression contains a combination of arithmetic operations, including addition, multiplication, and exponentiation.
Breaking Down the Expression
Let's break down the expression into smaller parts to make it easier to evaluate.
Step 1: Evaluate the expression inside the parentheses
-9 + 1 + 1 × 3
First, let's evaluate the multiplication operation:
1 × 3 = 3
Now, add the remaining terms:
-9 + 1 + 3 = -5
So, the expression inside the parentheses simplifies to -5
.
Step 2: Evaluate the exponentiation
(-5) ²
To evaluate the exponentiation, we raise -5
to the power of 2
:
(-5) ² = 25
Step 3: Add 6 to the result
Finally, add 6
to the result:
25 + 6 = 31
Final Answer
Therefore, the final answer to the expression (-9 + 1 + 1 × 3) ² + 6
is 31.