$$36y^4 \cdot \dfrac{z}{30}yz=\dfrac{36y^5z^2}{30}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}36y^4\frac{z}{30}yz& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{36y^4z}{30}yz \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{36y^5z}{30}z \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{36y^5z^2}{30}\end{aligned} $$ | |
| ① | Multiply $36y^4$ by $ \dfrac{z}{30} $ to get $ \dfrac{ 36y^4z }{ 30 } $. Step 1: Write $ 36y^4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 36y^4 \cdot \frac{z}{30} & \xlongequal{\text{Step 1}} \frac{36y^4}{\color{red}{1}} \cdot \frac{z}{30} \xlongequal{\text{Step 2}} \frac{ 36y^4 \cdot z }{ 1 \cdot 30 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36y^4z }{ 30 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{36y^4z}{30} $ by $ y $ to get $ \dfrac{ 36y^5z }{ 30 } $. Step 1: Write $ y $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{36y^4z}{30} \cdot y & \xlongequal{\text{Step 1}} \frac{36y^4z}{30} \cdot \frac{y}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36y^4z \cdot y }{ 30 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36y^5z }{ 30 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{36y^5z}{30} $ by $ z $ to get $ \dfrac{ 36y^5z^2 }{ 30 } $. Step 1: Write $ z $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{36y^5z}{30} \cdot z & \xlongequal{\text{Step 1}} \frac{36y^5z}{30} \cdot \frac{z}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36y^5z \cdot z }{ 30 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36y^5z^2 }{ 30 } \end{aligned} $$ |