Multiply. Simplify your answer. 13y^2z/3yz * 8y/8y^2z ______

Write Problem: Write down the original problem. We have the expression: (13y^2z/3yz) * (8y/8y^2z).Factor Common Terms: Factor out common terms in the numerators and denominators. The expression can be factored as follows: Numerator: 13y^2z * 8y = 104y^3z. Denominator: 3yz * 8y^2z = 24y^3z^2. So the expression becomes: 104y^3z / 24y^3z^2.Cancel Common Factors: Simplify the expression by canceling out common factors. Both the numerator and the denominator have a common factor of y^3z. Canceling these out, we get: 104 / 24z.Divide and Simplify: Simplify the fraction by dividing the numerator by the denominator. 104 divided by 24 simplifies to 13/3. So the simplified expression is: 13/3z.

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Multiply. Simplify your answer. $\newline$ $\frac{13y^2z}{3yz} \times \frac{8y}{8y^2z}$

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{13y^2z}{3yz} \times \frac{8y}{8y^2z}

Write Problem: Write down the original problem. $\newline$ We have the expression: $(\frac{13y^2z}{3yz}) \times (\frac{8y}{8y^2z})$ .
Factor Common Terms: Factor out common terms in the numerators and denominators. $\newline$ The expression can be factored as follows: $\newline$ Numerator: $13y^2z \times 8y = 104y^3z$ . $\newline$ Denominator: $3yz \times 8y^2z = 24y^3z^2$ . $\newline$ So the expression becomes: $\frac{104y^3z}{24y^3z^2}$ .
Cancel Common Factors: Simplify the expression by canceling out common factors. Both the numerator and the denominator have a common factor of $y^3z$ . Canceling these out, we get: $\frac{104}{24z}$ .
Divide and Simplify: Simplify the fraction by dividing the numerator by the denominator. $104$ divided by $24$ simplifies to $\frac{13}{3}$ . So the simplified expression is: $\frac{13}{3}z$ .