Express `(6.6xx10^(4))-(0.55xx10^(5))` in scientific notation.

Answer

To express the expression \((6.6 \times 10^{4}) - (0.55 \times 10^{5})\) in scientific notation, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Terms**:
The expression consists of two terms:
- \(6.6 \times 10^{4}\)
- \(0.55 \times 10^{5}\)

2. **Convert to Same Exponent**:
To perform the subtraction, we need both terms to have the same exponent. The second term \(0.55 \times 10^{5}\) can be rewritten with the exponent \(10^{4}\):
\[ 0.55 \times 10^{5} = 0.55 \times 10^{4} \times 10^{1} = 5.5 \times 10^{4} \]
So, we can rewrite the expression as:
\[ 6.6 \times 10^{4} - 5.5 \times 10^{4} \]

3. **Factor Out the Common Exponent**:
Now, we can factor out \(10^{4}\):
\[ (6.6 - 5.5) \times 10^{4} \]

4. **Perform the Subtraction**:
Now, we subtract the coefficients:
\[ 6.6 - 5.5 = 1.1 \]

5. **Combine the Results**:
Now, we can write the result in scientific notation:
\[ 1.1 \times 10^{4} \]

### Final Answer:
The expression \((6.6 \times 10^{4}) - (0.55 \times 10^{5})\) in scientific notation is:
\[ 1.1 \times 10^{4} \]