$$37n\dfrac{p}{37}n^2p^2=\dfrac{37n^3p^3}{37}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}37n\frac{p}{37}n^2p^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{37np}{37}n^2p^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{37n^3p}{37}p^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{37n^3p^3}{37}\end{aligned} $$ | |
| ① | Multiply $37n$ by $ \dfrac{p}{37} $ to get $ \dfrac{ 37np }{ 37 } $. Step 1: Write $ 37n $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 37n \cdot \frac{p}{37} & \xlongequal{\text{Step 1}} \frac{37n}{\color{red}{1}} \cdot \frac{p}{37} \xlongequal{\text{Step 2}} \frac{ 37n \cdot p }{ 1 \cdot 37 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 37np }{ 37 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{37np}{37} $ by $ n^2 $ to get $ \dfrac{ 37n^3p }{ 37 } $. Step 1: Write $ n^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{37np}{37} \cdot n^2 & \xlongequal{\text{Step 1}} \frac{37np}{37} \cdot \frac{n^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 37np \cdot n^2 }{ 37 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 37n^3p }{ 37 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{37n^3p}{37} $ by $ p^2 $ to get $ \dfrac{ 37n^3p^3 }{ 37 } $. Step 1: Write $ p^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{37n^3p}{37} \cdot p^2 & \xlongequal{\text{Step 1}} \frac{37n^3p}{37} \cdot \frac{p^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 37n^3p \cdot p^2 }{ 37 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 37n^3p^3 }{ 37 } \end{aligned} $$ |