# How do you multiply #(5x^2)/(3y) * (9xy)/20 *( 4y^2)/(3x^2)#?

The answer is

Multiply the numerators and denominators.

Simplify.

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To multiply the given expressions, you can follow these steps:

- Multiply the numerators together: (5x^2) * (9xy) * (4y^2)
- Multiply the denominators together: (3y) * (20) * (3x^2)
- Simplify each term in the numerator and denominator:
- In the numerator, multiply the coefficients: 5 * 9 * 4 = 180
- Multiply the variables with the same base by adding their exponents: x^2 * x * y * y^2 = x^(2+1) * y^(1+2) = x^3 * y^3
- In the denominator, multiply the coefficients: 3 * 20 * 3 = 180
- Multiply the variables with the same base by adding their exponents: y * x^2 = y^1 * x^2

- Write the simplified expression: (180x^3y^3) / (180yx^2)
- Cancel out any common factors between the numerator and denominator:
- Divide both the numerator and denominator by 180: (180x^3y^3) / (180yx^2) = (x^3y^3) / (yx^2)
- Divide y^3 by y: (x^3y^3) / (yx^2) = (x^3y^2) / (x^2)

- Simplify the expression further by subtracting the exponents: (x^3y^2) / (x^2) = x^(3-2) * y^2 = xy^2

Therefore, the simplified expression is xy^2.

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