lamar tried to evaluate an expression. here is his work: (12·4 + 6²) ÷ 2·7 step 1 = (12·4 + 36) ÷ 2·7 step 2…

lamar tried to evaluate an expression. here is his work: (12·4 + 6²) ÷ 2·7 step 1 = (12·4 + 36) ÷ 2·7 step 2 = (48 + 36) ÷ 2·7 step 3 = (48 + 36) ÷ 14 step 4 = 84 ÷ 14 step 5 = 6 is lamars work correct? no, lamar made a mistake going from step 1 to step 2. lamar should not
Answer
Explanation:
Step1: Calculate exponent
$$(12\cdot4 + 6^{2})\div2\cdot7=(12\cdot4 + 36)\div2\cdot7$$
Step2: Calculate multiplication
$$=(48 + 36)\div2\cdot7$$
Step3: Calculate addition
$$=84\div2\cdot7$$
Step4: Calculate division and multiplication from left to right
$$=42\cdot7 = 294$$
Answer:
No, Lamar made a mistake going from Step 2 to Step 3. He should calculate (84\div2\cdot7) (division and multiplication from left - to - right) instead of (84\div(2\cdot7)). The correct result is (294).