To convert the height from meters to centimeters, we need to multiply by 100, since 1 meter is equal to 100 centimeters.
Given:
Height in meters = \( 2.307 \times 10^8 \) meters
Now, convert to centimeters:
\[ \text{Height in centimeters} = 2.307 \times 10^8 , \text{meters} \times 100 , \text{centimeters/meter} \]
We can express 100 as \( 1.00 \times 10^2 \), so we can rewrite the calculation as:
\[ \text{Height in centimeters} = 2.307 \times 10^8 \times 1.00 \times 10^2 \]
Using the properties of exponents, we combine the terms:
\[ = 2.307 \times 1.00 \times 10^{8+2} \] \[ = 2.307 \times 10^{10} \]
Thus, the height of Ali’s farmhouse in centimeters is:
\[ \boxed{2.307 \times 10^{10}} \text{ centimeters} \]