Type the correct answer in the box. Use numerals instead of words.

Use the order of operations to evaluate this expression:
[tex]\[ 7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right) \][/tex]

The value of the expression is [tex]$\square$[/tex]



Answer :

Sure, let's break down the expression step by step according to the order of operations (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):

1. First, solve the expression inside the parentheses:
[tex]\[ 5 - 9 = -4 \][/tex]

2. Next, apply the exponent to the result of the parentheses:
[tex]\[ (-4)^2 = 16 \][/tex]

3. Now, handle the division inside the second parentheses:
[tex]\[ 16 \div 8 = 2.0 \][/tex]

4. Then, perform the multiplication:
[tex]\[ 3 \times 2.0 = 6.0 \][/tex]

5. Finally, add all the parts together:
[tex]\[ 7 + 16 + 6.0 \][/tex]

6. Combine the results:
[tex]\[ 7 + 16 = 23 \\ 23 + 6.0 = 29.0 \][/tex]

So, the value of the expression is [tex]\( \boxed{29.0} \)[/tex].