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Simplify the expression
8²+9(12/3 x 2) -7. Explain each

User Noisesmith
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Final answer:

To simplify the expression 8² + 9(12/3 x 2) - 7, each operation is performed in the correct order, resulting in a simplified answer of 129.

Step-by-step explanation:

The question asks to simplify the expression 8² + 9(12/3 x 2) - 7. To provide a GIVE ME A BIG EXPLANATION PART, let's go through each of the operations step by step.

  1. Calculate the square of 8: 8² = 64.
  2. Simplify the term inside the parentheses: 12/3 x 2. First, divide 12 by 3, which gives us 4. Then, multiply by 2 to get 4 x 2 = 8.
  3. Multiply this result by 9: 9 x 8 = 72.
  4. Combine all the simplified terms: 64 + 72 - 7.
  5. Add 64 and 72 to get 136, and then subtract 7, resulting in 136 - 7 = 129.
  6. The expression simplifies to 129.

It is important to follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Finally, check that the answer is reasonable. Since all operations were performed correctly, and the order of operations was followed, 129 is indeed a reasonable result.

User Shobull
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