Simplify: 2x^3y^2=4x^2z / 2x^4

2x^3y^2=4x^2z / 2x^4

2x^3 y^2 = 2z/x^2

x^5 y^2 = z

Simplify: 2x^3y^2+ 4x^2z / 2x^4

im sorry the equal sign was suppose to be a plus

To simplify the given expression:

1. Start by canceling out any common factors between the numerator and the denominator.
In this case, we can divide both sides of the equation by 2x^2 to simplify it.

(2x^3y^2)/(2x^4) = (4x^2z)/(2x^4)

Simplifying further, we have:

(x^3y^2)/(x^4) = (2x^2z)/(x^4)

2. Next, simplify the x variables by subtracting the exponents in the numerator and the denominator.

x^(3-4)y^2 = 2x^(2-4)z

Simplifying the exponents, we have:

x^(-1)y^2 = 2x^(-2)z

3. Now, take care of the negative exponent by moving the variable to the denominator or changing the exponent's sign.

(y^2)/(x) = (2z)/(x^2)

This is the simplified form of the given expression.