Express `(6.6xx10^(9))/(5.5xx10^(7))` in scientific notation.

Answer

To express \((6.6 \times 10^{9})/(5.5 \times 10^{7})\) in scientific notation, follow these steps:

### Step 1: Divide the coefficients
First, we need to divide the coefficients (the numbers in front of the powers of ten):
\[ \frac{6.6}{5.5} \]
Calculating this gives:
\[ \frac{6.6}{5.5} = 1.2 \]

### Step 2: Subtract the exponents
Next, we need to handle the powers of ten. When dividing, we subtract the exponent of the denominator from the exponent of the numerator:
\[ 10^{9} / 10^{7} = 10^{(9-7)} = 10^{2} \]

### Step 3: Combine the results
Now, we combine the results from Step 1 and Step 2:
\[ 1.2 \times 10^{2} \]

### Step 4: Write in scientific notation
The result \(1.2 \times 10^{2}\) is already in scientific notation because it has one non-zero digit before the decimal point.

### Final Answer
Thus, the expression \((6.6 \times 10^{9})/(5.5 \times 10^{7})\) in scientific notation is:
\[ 1.2 \times 10^{2} \]

---