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What is the result of the following formula? =27/3+5-2^3+ (17-8)/3^2.

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Final answer:

Using the order of operations, the formula =27/3+5-2^3+(17-8)/3^2 simplifies to 9+5-8+1, which results in a final answer of 7.

Step-by-step explanation:

The result of the formula =27/3+5-2^3+ (17-8)/3^2 can be calculated using the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Step 1: Solve expressions in parentheses. We have (17-8) which is 9.

Step 2: Handle exponents. There is 2^3 which is 8, and 3^2 which is 9.

Step 3: Perform multiplication and division from left to right. This involves 27/3 which equals 9, and (9 from Step 1) divided by 9 from (3^2) which is 1.

Step 4: Finally, execute addition and subtraction from left to right. We have 9 (from the division) + 5 - 8 (from the exponent calculated in Step 2) + 1 (from the division of 9 by 9 calculated in Step 3).

Now, let's compute the value.

Putting them all together: 9 + 5 - 8 + 1 = 7. Therefore, the result of the formula is 7.

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