Final answer:
The product of (7/11) * (7/11) is 49/121. This fraction is already in the lowest terms, as 49 and 121 have no common factors other than 1. It is reasonable since the fraction results from squaring the numbers 7 and 11.
Step-by-step explanation:
To find the product of (7/11) * (7/11) and write it in the lowest terms, you need to multiply the numerators together and multiply the denominators together. Here's how it's done:
- Multiply the numerators: 7 * 7 = 49.
- Multiply the denominators: 11 * 11 = 121.
- Combine them to get the fraction: 49/121.
- Since 49 and 121 have no common factors other than 1, the fraction is already in its lowest terms.
The product of (7/11) * (7/11) is 49/121, and it is already in the simplest form.
After finding the product, always check the answer to ensure it is reasonable. In this case, since the same number was multiplied by itself, it makes sense that the result is a fraction with the numerator and denominator being the squares of 7 and 11, respectively.