is this right?

Divide and check: 12x^3y^2/2x^5y^2

answer: 6x^-2

To divide the given expression, 12x^3y^2/2x^5y^2, you can follow these steps:

Step 1: Divide the numerical coefficients. In this case, 12 divided by 2 is equal to 6.

Step 2: Divide the variables with the same base by subtracting their exponents. In this case, the variable base is "x". Subtract the exponent of x (3) from the exponent of x (5), giving you x^(5-3) = x^2.

Step 3: Divide the variables with the same base by subtracting their exponents. The variable base in this case is "y". Subtract the exponent of y (2) from the exponent of y (2), which gives you y^(2-2) = y^0. Any variable with an exponent of 0 equals 1.

Therefore, the simplified expression is 6x^-2.