(3x3-3)2%3+3
To simplify and evaluate the expression (3x3-3)2%3+3, we can follow the order of operations:
1. Start by evaluating the exponent: (3x3-3)2.
Multiply the numbers inside the parentheses:
(3x3-3)2 = (9-3)2 = 62
2. Next, perform the modulo operation (%): (62%3).
The modulo operation gives us the remainder when 62 is divided by 3:
Divide 62 by 3: 62 ÷ 3 = 20 with a remainder of 2.
Therefore, (62%3) = 2.
3. Finally, add 3 to the result: 2 + 3 = 5.
So, the value of the expression (3x3-3)2%3+3 is 5.