Question
Answer
$$8xy^4 \cdot \dfrac{u}{24x^2y^4}=\dfrac{8uxy^4}{24x^2y^4}$$
Explanation
| $$ \begin{aligned}8xy^4\frac{u}{24x^2y^4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{8uxy^4}{24x^2y^4}\end{aligned} $$ | |
| ① | Multiply $8xy^4$ by $ \dfrac{u}{24x^2y^4} $ to get $ \dfrac{ 8uxy^4 }{ 24x^2y^4 } $. Step 1: Write $ 8xy^4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 8xy^4 \cdot \frac{u}{24x^2y^4} & \xlongequal{\text{Step 1}} \frac{8xy^4}{\color{red}{1}} \cdot \frac{u}{24x^2y^4} \xlongequal{\text{Step 2}} \frac{ 8xy^4 \cdot u }{ 1 \cdot 24x^2y^4 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 8uxy^4 }{ 24x^2y^4 } \end{aligned} $$ |
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