(6+8)8-9/3(9+3-2)^2

Follow the priority of operations and evaluate according to the priority.

For the list of priorities, see:
http://www.jiskha.com/display.cgi?id=1252447747

I also notice that the expression is ambiguous. Was it written as a fraction such as:

((6+8)*8-9) / (3*(9+3-2)^2)
or was the question really as you have written?
Note that if it was written as a fraction, parentheses are required for the numerator and denominator in order to evaluate correctly.

no, that is how it is written. Thw slash is being used as a division sign.

If the division sign is for a fraction, you would have to add the implicit parentheses as I have done in order that the value of the expression will not be changed.

For example, when we write the fraction where the numerator is x+1 and the denominator is x-3, we HAVE to write the fraction as
(x+1)/(x-3) because we want (x+1) divided by (x-3).

If we omit the implicit parentheses and write
x+1/x-3, we would end up with the three term expression
x + (1/x) - 3
which does not evaluate to the original fraction.

ok, thank you!

To solve the expression (6+8)8-9/3(9+3-2)^2, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction).

Let's break down the expression step by step:

Step 1: Inside the parentheses (6+8) becomes 14.
(6 + 8) 8 - 9 / 3 (9 + 3 - 2)^2 -->
14 * 8 - 9 / 3 (9 + 3 - 2)^2

Step 2: Within the parentheses (9 + 3 - 2), we simplify to get 10.
14 * 8 - 9 / 3 * 10^2

Step 3: Next, we evaluate the exponent 10^2, which is equal to 100.
14 * 8 - 9 / 3 * 100

Step 4: Now, we move on to multiplication and division from left to right:
14 * 8 = 112
9 / 3 = 3
112 - 3 * 100

Step 5: Finally, we perform the subtraction and multiplication from left to right:
3 * 100 = 300
112 - 300

Step 6: The final step is to subtract 300 from 112:
112 - 300 = -188

Therefore, the answer to the expression (6+8)8-9/3(9+3-2)^2 is -188.