To convert the height from meters to centimeters, you can multiply the height in meters by 100 (since 1 meter = 100 centimeters).
Given the height of the farmhouse is \( 2.307 \times 10^0 \) meters (since there are no decimals in the exponent of 10), we carry out the conversion as follows:
\[ \text{Height in cm} = 2.307 \times 10^0 , \text{meters} \times 100 , \text{cm/m} \]
This is equivalent to:
\[ \text{Height in cm} = 2.307 \times 100 , \text{cm} = 230.7 , \text{cm} \]
Now, we express \( 230.7 \) in scientific notation:
\[ 230.7 = 2.307 \times 10^2 \]
Therefore, the height of Ali's farmhouse in centimeters, expressed in scientific notation, is:
\[ \boxed{2.307 \times 10^2} , \text{cm} \]