$$\dfrac{36b^3x}{24}b^4xy^5=\dfrac{36b^7x^2y^5}{24}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{36b^3x}{24}b^4xy^5& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{36b^7x}{24}xy^5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{36b^7x^2}{24}y^5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{36b^7x^2y^5}{24}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{36b^3x}{24} $ by $ b^4 $ to get $ \dfrac{ 36b^7x }{ 24 } $. Step 1: Write $ b^4 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{36b^3x}{24} \cdot b^4 & \xlongequal{\text{Step 1}} \frac{36b^3x}{24} \cdot \frac{b^4}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36b^3x \cdot b^4 }{ 24 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36b^7x }{ 24 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{36b^7x}{24} $ by $ x $ to get $ \dfrac{ 36b^7x^2 }{ 24 } $. 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. $$ \begin{aligned} \frac{36b^7x}{24} \cdot x & \xlongequal{\text{Step 1}} \frac{36b^7x}{24} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36b^7x \cdot x }{ 24 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36b^7x^2 }{ 24 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{36b^7x^2}{24} $ by $ y^5 $ to get $ \dfrac{ 36b^7x^2y^5 }{ 24 } $. Step 1: Write $ y^5 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{36b^7x^2}{24} \cdot y^5 & \xlongequal{\text{Step 1}} \frac{36b^7x^2}{24} \cdot \frac{y^5}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36b^7x^2 \cdot y^5 }{ 24 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36b^7x^2y^5 }{ 24 } \end{aligned} $$ |