What is the simplified form of the expression -5 [4^2 divided by (49 - 41) +6]. Show the work
The expression can be simplified step by step as follows:
First, solve for the expression within the parentheses:
(49 - 41) = 8
Next, solve the exponent:
4^2 = 16
Now, the expression becomes:
-5 [16 divided by 8 + 6]
Next, perform the division:
16 divided by 8 = 2
Now, the expression becomes:
-5 [2 + 6]
Next, perform the addition:
2 + 6 = 8
Finally, multiply by -5:
-5 * 8 = -40
Therefore, the simplified form of the expression is -40.
To simplify the expression -5 [4^2 divided by (49 - 41) +6], follow the order of operations (PEMDAS):
Step 1: Simplify inside the parentheses
49 - 41 = 8
Step 2: Evaluate the exponent
4^2 = 16
Step 3: Perform the division
16 divided by 8 = 2
Step 4: Perform the addition
2 + 6 = 8
Step 5: Multiply by -5
-5 * 8 = -40
Therefore, the simplified form of the expression -5 [4^2 divided by (49 - 41) +6] is -40.