Question
Answer
$$\dfrac{8x^4y^2}{3z^3}9xy^2\dfrac{z^6}{4y^4}=\dfrac{72x^5y^4z^6}{12y^4z^3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{8x^4y^2}{3z^3}9xy^2\frac{z^6}{4y^4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{8x^4y^2}{3z^3}\frac{9xy^2z^6}{4y^4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{72x^5y^4z^6}{12y^4z^3}\end{aligned} $$ | |
| ① | Multiply $9xy^2$ by $ \dfrac{z^6}{4y^4} $ to get $ \dfrac{ 9xy^2z^6 }{ 4y^4 } $. Step 1: Write $ 9xy^2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 9xy^2 \cdot \frac{z^6}{4y^4} & \xlongequal{\text{Step 1}} \frac{9xy^2}{\color{red}{1}} \cdot \frac{z^6}{4y^4} \xlongequal{\text{Step 2}} \frac{ 9xy^2 \cdot z^6 }{ 1 \cdot 4y^4 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 9xy^2z^6 }{ 4y^4 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{8x^4y^2}{3z^3} $ by $ \dfrac{9xy^2z^6}{4y^4} $ to get $ \dfrac{ 72x^5y^4z^6 }{ 12y^4z^3 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{8x^4y^2}{3z^3} \cdot \frac{9xy^2z^6}{4y^4} & \xlongequal{\text{Step 1}} \frac{ 8x^4y^2 \cdot 9xy^2z^6 }{ 3z^3 \cdot 4y^4 } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ 72x^5y^4z^6 }{ 12y^4z^3 } \end{aligned} $$ |
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Simplify Rational Expressions