Simplify the expression \( \frac{4x^3y^2z^4}{2x^2y^2z^2} \)

Step 1 ：First, divide each of the coefficients: \( \frac{4}{2} = 2 \)

Step 2 ：Next, subtract the exponents of the variables: \( x^{3-2} = x^1, y^{2-2} = y^0, z^{4-2} = z^2 \)

Step 3 ：Remember that any number or variable to the power of 0 equals 1, so \( y^0 = 1 \)

Step 4 ：Finally, multiply the results together: \( 2 \cdot x \cdot 1 \cdot z^2 = 2xz^2 \)