The solution to the expression, if we have made the correct assumptions, is -72.
It appears that the expression "2{-5}x7-6 divided by 3" contains unconventional notation which makes it a bit unclear. However, if we assume that "{-5}" denotes multiplication by -5, and "x7" means "times 7", we can rewrite the expression as follows:
2 * (-5) * 7 - 6 ÷ 3
Now, let's solve this step by step.
First, we need to follow the order of operations, which is often remembered by the acronym PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Step 1: Perform the multiplication.
2 * (-5) * 7 = -10 * 7 = -70
Step 2: Continue with the division. Since there are no parentheses dictating a different order, we should solve the multiplications and divisions from left to right.
-70 - (6 ÷ 3) = -70 - 2
Step 3: Finally, we perform the subtraction.
-70 - 2 = -72
So, the solution to the expression, if we have made the correct assumptions, is -72.