https://file.aiquickdraw.com/mathbot/file/1729540562796oj6e51rp.jpg

To solve the given expression:

\[
9 + 7.38 \div 0.6 - 1.4^2
\]

we will follow the correct order of operations, also known as **PEMDAS** (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step solution:

1. **Exponents**: First, we calculate \(1.4^2\).
   \[
   1.4^2 = 1.4 \times 1.4 = 1.96
   \]
   
   So, the expression now becomes:
   \[
   9 + 7.38 \div 0.6 - 1.96
   \]

2. **Division**: Next, we handle the division \(7.38 \div 0.6\).
   \[
   7.38 \div 0.6 = 12.3
   \]
   
   Now, the expression is:
   \[
   9 + 12.3 - 1.96
   \]

3. **Addition and Subtraction**: Now, we proceed from left to right, first adding and then subtracting:
   \[
   9 + 12.3 = 21.3
   \]
   \[
   21.3 - 1.96 = 19.34
   \]

Thus, the final answer is:

\[
\boxed{19.34}
\]

Would you like further clarification on any step, or do you have any questions? 

Here are some related problems you might want to try:
1. Evaluate \(5 + 6.5 \div 2 - 3^2\).
2. Simplify \(12.4 + 8.6 \div 0.2 - 4^2\).
3. Solve \(7.2 \div 0.3 + 2.8 - 1.5^2\).
4. Compute \(6.5 + 9.3 \div 1.1 - 2^3\).
5. Calculate \(10 + 7.8 \div 0.5 - 5^2\).

**Tip**: Always deal with exponents and division before moving to addition or subtraction to avoid mistakes!

Learn how to solve the expression 9 + 7.38 ÷ 0.6 - 1.4^2 using the correct order of operations (PEMDAS). This problem involves decimals, exponents, and basic arithmetic. Suitable for students in grades 6-8.

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