Multiply. Simplify your answer. 20pq^2/16p * 4p^2 ______

Factor out common terms: Factor out common terms in the numerator and denominator. We have 20pq^2/16p * 4p^2. First, we can simplify 20pq^2/16p by dividing both the numerator and the denominator by the common term 4p. This gives us (5q^2/4) * 4p^2.Multiply simplified fraction: Multiply the simplified fraction by 4p^2. We have (5q^2/4) * 4p^2. When multiplying fractions, we multiply the numerators together and the denominators together. The numerator is 5q^2 * 4p^2 and the denominator is 4.Simplify multiplication of numerators: Simplify the multiplication of the numerators. Multiplying 5q^2 by 4p^2 gives us 20p^2q^2.Simplify entire expression: Simplify the entire expression. We have 20p^2q^2/4. Dividing 20p^2q^2 by 4 gives us 5p^2q^2, as 20 divided by 4 is 5.Check for further simplification: Check for any further simplification. Since there are no common factors left in the numerator and the denominator, and no variables to combine, the expression is already in its simplest form.

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{20pq^2}{16p} \times 4p^2

Factor out common terms: Factor out common terms in the numerator and denominator. We have $\frac{20pq^2}{16p} \times 4p^2$ . First, we can simplify $\frac{20pq^2}{16p}$ by dividing both the numerator and the denominator by the common term $4p$ . This gives us $(\frac{5q^2}{4}) \times 4p^2$ .
Multiply simplified fraction: Multiply the simplified fractions" target="_blank" class="backlink">fraction by $4p^2$ . We have $(5q^2/4) \times 4p^2$ . When multiplying fractions, we multiply the numerators together and the denominators together. The numerator is $5q^2 \times 4p^2$ and the denominator is $4$ .
Simplify multiplication of numerators: Simplify the multiplication of the numerators. Multiplying $5q^2$ by $4p^2$ gives us $20p^2q^2$ .
Simplify entire expression: Simplify the entire expression. We have $20p^2q^2/4$ . Dividing $20p^2q^2$ by $4$ gives us $5p^2q^2$ , as $20$ divided by $4$ is $5$ .
Check for further simplification: Check for any further simplification. Since there are no common factors left in the numerator and the denominator, and no variables to combine, the expression is already in its simplest form.