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: \[ \boxed{555.35} \]