# How do you simplify #(2xyz)/(x^2z^2)div (6y^3)/(3xz)#?

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To simplify the expression (2xyz)/(x^2z^2) ÷ (6y^3)/(3xz), we can follow these steps:

- Invert the second fraction and change the division sign to multiplication: (2xyz)/(x^2z^2) × (3xz)/(6y^3)
- Simplify the numerator: 2xyz × 3xz = 6x^2y^2z^2
- Simplify the denominator: x^2z^2 × 6y^3 = 6x^2y^3z^2
- Divide the simplified numerator by the simplified denominator: (6x^2y^2z^2) / (6x^2y^3z^2)
- Cancel out common factors: The 6, x^2, and z^2 terms cancel out, leaving us with 1/y.

Therefore, the simplified expression is 1/y.

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