What is the simplified form of the expression? Show all of your work for credit.

-5 [ 4² ÷ ( 49 - 41) + 6]

1 answer

To simplify the expression, we will follow the order of operations (PEMDAS).

First, we calculate the expression inside the brackets:
(49 - 41) = 8
4² = 16
Therefore, the expression inside the brackets becomes:
4² ÷ (49 - 41) = 16 ÷ 8 = 2

Now, we substitute the simplified expression back into the original expression:
-5 [ 2 + 6]

Next, we perform the addition inside the brackets:
2 + 6 = 8

Finally, we multiply -5 by 8:
-5 * 8 = -40

Therefore, the simplified form of the expression is -40.