The expression in the image is:

$(7.5 \times 67) + (3 \times 6^2)$

Step-by-step Solution:

1. Simplify $7.5 \times 67$: $7.5 \times 67 = 502.5$

2. Simplify $6^2$: $6^2 = 36$

3. Simplify $3 \times 36$: $3 \times 36 = 108$

4. Add the results: $502.5 + 108 = 610.5$

Final Answer:

$610.5$

Would you like more detailed explanations or have any other questions?

Related Questions:

1. What is the distributive property, and how could it be applied here?
2. How would the answer change if the numbers were integers (e.g., 7 instead of 7.5)?
3. Can you explain the importance of the order of operations in this problem?
4. How would rounding affect this calculation (e.g., rounding 7.5 to the nearest whole number)?
5. What are other real-life situations where such calculations are used?

Tip:

Always follow the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) for consistent results!