$$2x\cdot\dfrac{y^2}{46}xy^2=\dfrac{2x^2y^4}{46}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x \cdot \frac{y^2}{46}xy^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2xy^2}{46}xy^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2x^2y^2}{46}y^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{2x^2y^4}{46}\end{aligned} $$ | |
| ① | Multiply $2x$ by $ \dfrac{y^2}{46} $ to get $ \dfrac{ 2xy^2 }{ 46 } $. Step 1: Write $ 2x $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 2x \cdot \frac{y^2}{46} & \xlongequal{\text{Step 1}} \frac{2x}{\color{red}{1}} \cdot \frac{y^2}{46} \xlongequal{\text{Step 2}} \frac{ 2x \cdot y^2 }{ 1 \cdot 46 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 2xy^2 }{ 46 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{2xy^2}{46} $ by $ x $ to get $ \dfrac{ 2x^2y^2 }{ 46 } $. Step 1: Write $ x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{2xy^2}{46} \cdot x & \xlongequal{\text{Step 1}} \frac{2xy^2}{46} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 2xy^2 \cdot x }{ 46 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 2x^2y^2 }{ 46 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{2x^2y^2}{46} $ by $ y^2 $ to get $ \dfrac{ 2x^2y^4 }{ 46 } $. Step 1: Write $ y^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{2x^2y^2}{46} \cdot y^2 & \xlongequal{\text{Step 1}} \frac{2x^2y^2}{46} \cdot \frac{y^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 2x^2y^2 \cdot y^2 }{ 46 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 2x^2y^4 }{ 46 } \end{aligned} $$ |