Multiply and express the result in its simplest form.

2x/x-3×1/x^3

2/(x-3) * 1/x^2 = ?

2X/(X- 3) * 1/X^3

2X/(X-3)X^3 =
2/X^2(X-3).

To find the product of these rational expressions and express the result in simplest form, we need to multiply the numerators and multiply the denominators separately.

First, let's multiply the numerators:
2x * 1 = 2x

Next, let's multiply the denominators:
(x - 3) * (x^3) = x(x^3) - 3(x^3) = x^4 - 3x^3

So, the final expression is (2x) / (x^4 - 3x^3).

This expression cannot be simplified any further because the numerator and denominator do not have any common factors that can be canceled out.