### Instruction: What is the value of $3\cdot 3 + 3(3 + 3) - 3^3$?### Response: To solve this problem, I need to apply the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
I start by simplifying what's inside the parentheses: $3(3 + 3) = 3(6) = 18$.
Now I have $3\cdot 3 + 18 - 3^3$.
Next, I apply the exponent: $3^3 = 3\cdot 3\cdot 3 = 27$.
Now I have $3\cdot 3 + 18 - 27$.
Then, I do the multiplication: $3\cdot 3 = 9$.
Now I have $9 + 18 - 27$.
Finally, I do the addition and subtraction: $9 + 18 - 27 = 27 - 27 = 0$.