1 multiple choice 2 points solve the following problem using pemdas: 24 ÷ 4 + 3² × (6 - 2) 72 36 24 18

Explanation:

Step1: Solve parentheses first

$6 - 2 = 4$

Step2: Calculate exponents

$3^2 = 9$

Step3: Do multiplication/division left to right

$24 \div 4 = 6$ $9 \times 4 = 36$

Step4: Do addition left to right

$6 + 36 = 42$ *Note: There is a discrepancy as 42 is not listed, but following PEMDAS strictly: Rechecking steps:

Step1: Parentheses

$6 - 2 = 4$

Step2: Exponent

$3^2 = 9$

Step3: Multiply and divide left to right

$24 \div 4 = 6$ $9 \times 4 = 36$

Step4: Add

$6 + 36 = 42$ However, if we incorrectly prioritize multiplication before division (contrary to PEMDAS left-to-right): $24 \div 4 + 9 \times 4 = 6 + 36 = 42$. Still 42. But if we misread the problem as $(24 \div 4 + 3^2) \times (6-2)$: $(6+9)\times4=15\times4=60$, not listed. Alternatively, if the problem was $24 \div (4 + 3^2) \times (6-2)$: $24\div13\times4\approx7.38$, not listed. Assuming the closest intended answer with correct PEMDAS, but if we follow the options, rechecking: Wait, no—wait, $24 \div 4 = 6$, $3^2 \times 4=9\times4=36$, $6+36=42$. Since 42 is not an option, but if there was a typo, but following strict PEMDAS:

Answer:

*Note: The correct result via PEMDAS is 42, which is not listed. If forced to choose from the given options, there may be an error in the problem. However, if we incorrectly compute $24 \div (4 + 3^2) \times (6-2)$ it does not match, or if we do $24 \div 4 + 3^2 \times 6 -2=6+54-2=58$, no. The only way to get a listed answer is if we do $24 \div 4 + (3^2 \times (6-2))$ which is 6+36=42, still not listed.

Wait, possible misreading: $24 \div (4 + 3)^2 \times (6-2)$: $24\div49\times4\approx1.96$, no.

Alternatively, if the problem was $24 \div 4 + 3 \times (6 - 2)$: $6 + 12=18$, which is an option. But the problem says $3^2$.

Given the options, if we assume a typo and the exponent was omitted, 18 is an option. But strictly following the given problem, the correct result is 42, not listed. However, if we proceed with the given problem as written:

Answer:

The correct result via PEMDAS is 42, which is not among the provided options. If we assume a potential error in the problem (e.g., $3$ instead of $3^2$), the answer would be 18. But per the written problem: $\boldsymbol{42}$ (not listed in options)

But since we must choose from the given options, there is an inconsistency. However, if we follow PEMDAS perfectly, the answer is 42.