Multiply. Simplify your answer. $\newline$ $\frac{20pq^2}{16p} \times 4p^2$

Full solution

Q. Multiply. Simplify your answer.

\newline

\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 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.