Multiply. Simplify your answer. 14x^2/7x^2y^2 * 20xy ______

Write Problem: Write down the multiplication problem. We are given the expression 14x^2/7x^2y^2 * 20xy and we need to multiply the two fractions.Multiply Numerators and Denominators: Multiply the numerators and the denominators. When multiplying fractions, we multiply the numerators together and the denominators together. So, we have (14x^2 * 20xy) / (7x^2y^2).Simplify by Canceling Factors: Simplify the expression by canceling common factors. In the numerator, we have 14x^2 * 20xy which simplifies to 280x^3y. In the denominator, we have 7x^2y^2. We can cancel out the common factors of x^2 and 7 from the numerator and denominator. This leaves us with 280xy / y^2.Further Simplify: Simplify the expression further. We can cancel out one y from the numerator and denominator, which leaves us with 280x / y.

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

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{14x^2}{7x^2y^2} \times 20xy

Write Problem: Write down the multiplication problem. $\newline$ We are given the expression $\frac{14x^2}{7x^2y^2} \times 20xy$ and we need to multiply the two fractions.
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ When multiplying fractions, we multiply the numerators together and the denominators together. So, we have $(14x^2 \times 20xy) / (7x^2y^2)$ .
Simplify by Canceling Factors: Simplify the expression by canceling common factors. In the numerator, we have $14x^2 \times 20xy$ which simplifies to $280x^3y$ . In the denominator, we have $7x^2y^2$ . We can cancel out the common factors of $x^2$ and $7$ from the numerator and denominator. This leaves us with $\frac{280xy}{y^2}.$
Further Simplify: Simplify the expression further. $\newline$ We can cancel out one $y$ from the numerator and denominator, which leaves us with $\frac{280x}{y}$ .