6+(8+3^2)-3(11-2(6-(8-6)+1

6+(8+3^2)-3(11-2(6-(8-6)))+1

 

Here's some nice PEMDAS here~

 

Parenthesis

 

We have:

 

(8+3^2)

and

(11-2(6-(8-6)))

 

Inside the parenthesis, we apply PEMDAS again:

 

(8+3^2) ---> (8+9)

and

(11-2(6-(8-6))) ---> (11-2(6-2))

 

Again:

 

(8+9) ---> 17

and

(11-2(6-2)) ---> (11-2(4))

 

Again:

 

(11-2(4)) ---> (11-8)

 

Again:

 

(11-8) ---> 3

 

And now, we have done almost everything in parenthesis. Insert the final answers from each part taken out back in the place of the parts in parenthesis.

 

6+(17)-3(3)+1

 

There are no exponents to deal with now.

 

Multiplication and Division

 

3(3) ---> 9

 

Addition and Subtraction

 

6+17-9+1

 

6 + 17 = 23 - 9 = 14 + 1 = 15

 

Your final answer is 15