3067:20+10-8+20²

To solve the expression \(3067:20+10-8+20²\), we will follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Calculate the exponent: \[ 20^2 = 400 \]

2. Now, rewrite the expression: \[ 3067:20 + 10 - 8 + 400 \]

3. Next, perform the division: \[ 3067 \div 20 = 153.35 \]

4. Rewrite the expression with the result of the division: \[ 153.35 + 10 - 8 + 400 \]

5. Now perform the addition and subtraction from left to right:

   • First, \(153.35 + 10 = 163.35\)
   • Then, \(163.35 - 8 = 155.35\)
   • Finally, \(155.35 + 400 = 555.35\)

So, the final result is: \[ \boxed{555.35} \]