Consider the expression: (28/4). 5-6 + 4square.

Explain the order of operations you would use to simplify this expression. then simplify it.

(28/4).5-6 + 4^2

powers first. so
(28/4)*5-6+16
Inside parens,
(7)*5-6+16
Now no parens,
7*5-6+16
Now multiply,
35-6+16
Now add/subtract, left-to-right:
29+16
45

-28/4 + 6(-3)

To simplify the given expression, you need to follow the order of operations, also known as PEMDAS:

1. Parentheses: Simplify any expressions inside parentheses first.
2. Exponents: Evaluate any exponents or powers.
3. Multiplication and Division: Perform any multiplication or division from left to right.
4. Addition and Subtraction: Finally, perform any addition or subtraction from left to right.

Let's simplify the expression step by step:

Step 1: Parentheses
There are no parentheses in the given expression, so we move on to the next step.

Step 2: Exponents
There are no exponents in the given expression, so we move on to the next step.

Step 3: Multiplication and Division
Here, we have (28/4), which is division. We simplify it as follows:

(28/4) = 7

Now, the expression becomes:

7 * 5 - 6 + 4 ^2

Step 4: Addition and Subtraction
Next, we perform addition and subtraction from left to right:

7 * 5 = 35
35 - 6 = 29
29 + 4^2 = 29 + 16 = 45

Therefore, the simplified expression is 45.