Find the product of 2/5 and 2/9 .

To find the product of two fractions, you multiply the numerators (top numbers) together to get the new numerator, and then multiply the denominators (bottom numbers) together to get the new denominator.

So, for this problem:

The numerator would be 2*2 = 4.
The denominator would be 5*9 = 45.

Therefore, the product of 2/5 and 2/9 is 4/45.