Question
Answer
$$27x^4 \cdot \dfrac{y^5}{12xy^4}=\dfrac{27x^4y^5}{12xy^4}$$
Explanation
| $$ \begin{aligned}27x^4\frac{y^5}{12xy^4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{27x^4y^5}{12xy^4}\end{aligned} $$ | |
| ① | Multiply $27x^4$ by $ \dfrac{y^5}{12xy^4} $ to get $ \dfrac{ 27x^4y^5 }{ 12xy^4 } $. Step 1: Write $ 27x^4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 27x^4 \cdot \frac{y^5}{12xy^4} & \xlongequal{\text{Step 1}} \frac{27x^4}{\color{red}{1}} \cdot \frac{y^5}{12xy^4} \xlongequal{\text{Step 2}} \frac{ 27x^4 \cdot y^5 }{ 1 \cdot 12xy^4 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 27x^4y^5 }{ 12xy^4 } \end{aligned} $$ |
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