one dividing `221a ^(2) ` by ` 13 b ^(2),` we get _____

Options

A. `17a^(2)`
B. `17b ^(2)`
C. `13 a^(2)b^(2)`
D. `13`

Answer

To solve the problem of dividing \( 221a^2 \) by \( 13b^2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Write the Division Expression**:
We start with the expression:
\[ \frac{221a^2}{13b^2} \]

2. **Divide the Coefficients**:
Next, we divide the numerical coefficients:
\[ \frac{221}{13} \]
Performing the division:
\[ 221 \div 13 = 17 \]
(since \( 13 \times 17 = 221 \))

3. **Combine the Variables**:
Since \( a^2 \) and \( b^2 \) are different variables, they cannot be simplified further. Therefore, we keep them as they are:
\[ \frac{a^2}{b^2} \]

4. **Combine the Results**:
Now we combine the results from the previous steps:
\[ 17 \cdot \frac{a^2}{b^2} = \frac{17a^2}{b^2} \]

### Final Answer:
Thus, the final result of dividing \( 221a^2 \) by \( 13b^2 \) is:
\[ \frac{17a^2}{b^2} \]