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Multiply. Simplify your answer.\newline14x27x2y2×20xy\frac{14x^2}{7x^2y^2} \times 20xy

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Full solution

Q. Multiply. Simplify your answer.\newline14x27x2y2×20xy\frac{14x^2}{7x^2y^2} \times 20xy
  1. Write Problem: Write down the multiplication problem.\newlineWe are given the expression 14x27x2y2×20xy\frac{14x^2}{7x^2y^2} \times 20xy and we need to multiply the two fractions.
  2. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newlineWhen multiplying fractions, we multiply the numerators together and the denominators together. So, we have (14x2×20xy)/(7x2y2)(14x^2 \times 20xy) / (7x^2y^2).
  3. Simplify by Canceling Factors: Simplify the expression by canceling common factors. In the numerator, we have 14x2×20xy14x^2 \times 20xy which simplifies to 280x3y280x^3y. In the denominator, we have 7x2y27x^2y^2. We can cancel out the common factors of x2x^2 and 77 from the numerator and denominator. This leaves us with 280xyy2.\frac{280xy}{y^2}.
  4. Further Simplify: Simplify the expression further.\newlineWe can cancel out one yy from the numerator and denominator, which leaves us with 280xy\frac{280x}{y}.

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