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.