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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].

Sagot :

GinnyAnswer
To evaluate the expression [tex]\(7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right)\)[/tex] using the order of operations, follow these steps:

1. First, evaluate the expression inside the parentheses.

[tex]\[ 5 - 9 = -4 \][/tex]

2. Next, evaluate the exponentiation.

[tex]\[ (-4)^2 = 16 \][/tex]

3. Then, perform the division inside the parentheses.

[tex]\[ \frac{16}{8} = 2 \][/tex]

4. Now, perform the multiplication.

[tex]\[ 3 \times 2 = 6 \][/tex]

5. Finally, perform the addition.

[tex]\[ 7 + 16 + 6 = 29 \][/tex]

The value of the expression is [tex]\( \boxed{29} \)[/tex].
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