Mulitiply. Simplify your answer.
1. 3r^2t/6st^3 x 2r^2s^3t^2/8r^4s^2
To multiply the given expression, we need to combine like terms and simplify whenever possible.
First, let's multiply the numerators together and the denominators together separately:
Numerator: (3r^2t) x (2r^2s^3t^2) = 6r^4s^3t^3
Denominator: (6st^3) x (8r^4s^2) = 48r^4s^3t^3
Now, divide the numerator by the denominator:
(6r^4s^3t^3) / (48r^4s^3t^3)
Since the numerator and denominator have the same variables, we can cancel them out:
6r^4s^3t^3 / 48r^4s^3t^3
Canceling out common factors, we get:
1/8
So, the simplified answer is 1/8.