Answered

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Given the following expression:
[tex]\[ 2 + 8 \cdot (5 - 7)^2 \][/tex]

What is the answer using the proper order of operations?

A. [tex]$-40$[/tex]
B. 40
C. 34
D. [tex]$-34$[/tex]

Note: Use the proper order of operations (PEMDAS/BODMAS).

Sagot :

GinnyAnswer
Certainly! Let's break down the expression \( 2 + 8 \cdot (5 - 7)^2 \) step by step, following the proper order of operations:

1. Parentheses: The first step is to evaluate the expression inside the parentheses.
[tex]\[ 5 - 7 = -2 \][/tex]

2. Exponentiation: Next, we need to raise the result of the parentheses to the power of 2.
[tex]\[ (-2)^2 = 4 \][/tex]

3. Multiplication: Now, we multiply this result by 8.
[tex]\[ 8 \cdot 4 = 32 \][/tex]

4. Addition: Finally, we add 2 to this product.
[tex]\[ 2 + 32 = 34 \][/tex]

Therefore, the answer to the expression [tex]\( 2 + 8 \cdot (5 - 7)^2 \)[/tex] is [tex]\( \boxed{34} \)[/tex].
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