To convert the height from meters to centimeters, we use the conversion factor that 1 meter equals 100 centimeters.
Given the height of Ali's farmhouse is \(2.307 \times 10^0\) meters (since \(10^0\) is 1, this is simply 2.307 meters).
Now we convert it to centimeters:
\[ \text{Height in centimeters} = 2.307 , \text{meters} \times 100 , \text{centimeters/meter} = 230.7 , \text{centimeters} \]
Next, we need to express \(230.7\) in scientific notation:
\[ 230.7 = 2.307 \times 10^2 \]
Thus, the height of Ali's farmhouse in centimeters, expressed in scientific notation to the exact decimal place, is:
\[ \boxed{2.307 \times 10^2 , \text{centimeters}} \]