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Solve the folowing problem using order of operations 3^(3)*2^(2)+(15-7)*3

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User Jhocking
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1 Answer

7 votes

Final answer:

To solve the problem, apply the order of operations: PEMDAS. Evaluate the exponents, solve the parentheses, perform multiplication, and then addition. The final answer is 132.

Step-by-step explanation:

To solve the problem using order of operations, we need to follow the acronym PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's apply this to the expression:

  1. First, we evaluate the exponents: 3^(3) = 3 x 3 x 3 = 27, and 2^(2) = 2 x 2 = 4.
  2. Next, we solve the parentheses: (15-7) = 8.
  3. Multiplying the exponents and solving the parentheses: 27 x 4 + 8 x 3.
  4. Now we perform the multiplication: 27 x 4 = 108, and 8 x 3 = 24.
  5. Finally, we add the results of the multiplication: 108 + 24 = 132.

Therefore, the final answer is 132.

Learn more about Order of Operations

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User James Allingham
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