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Select the correct answer.

Simplify:
[tex]\[ 6 \div 3 + 3^2 \cdot 4 - 2 \][/tex]

A. 42
B. 98
C. 36
D. 22

Sagot :

GinnyAnswer
To simplify the expression [tex]\( 6 \div 3 + 3^2 \cdot 4 - 2 \)[/tex], let's follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction.

1. Division:
Calculate [tex]\( 6 \div 3 \)[/tex]:
[tex]\[ 6 \div 3 = 2 \][/tex]

2. Exponents:
Calculate [tex]\( 3^2 \)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]

3. Multiplication:
Multiply the result of the exponentiation by 4:
[tex]\[ 9 \cdot 4 = 36 \][/tex]

4. Addition and Subtraction:
Now, add the results of the division and the multiplication, then subtract 2:
[tex]\[ 2 + 36 - 2 = 36 \][/tex]

Based on these calculations, the correct answer is:

C. 36
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