�ã4:(3) * �ã2:(5)

is the answer �ã8:(15) ?

That is supposed to be a cubed root, sorry about that. Disregard the square and the a symbol.

To multiply two fractions, you need to multiply the numerators (the top numbers) and the denominators (the bottom numbers) separately.

In this case, the first fraction is �ã4:(3) and the second fraction is �ã2:(5).

Multiplying the numerators gives:
4 * 2 = 8

Multiplying the denominators gives:
3 * 5 = 15

So the result of the multiplication is �ã8:(15).

Therefore, your answer is correct, �ã8:(15).