Question
Answer
$$\dfrac{\dfrac{a^4}{9}}{\dfrac{a}{6}}=\dfrac{6a^4}{9a}$$
Explanation
| $$ \begin{aligned}\frac{\frac{a^4}{9}}{\frac{a}{6}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{6a^4}{9a}\end{aligned} $$ | |
| ① | Divide $ \dfrac{a^4}{9} $ by $ \dfrac{a}{6} $ to get $ \dfrac{ 6a^4 }{ 9a } $. Step 1: To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{ \frac{a^4}{9} }{ \frac{\color{blue}{a}}{\color{blue}{6}} } & \xlongequal{\text{Step 1}} \frac{a^4}{9} \cdot \frac{\color{blue}{6}}{\color{blue}{a}} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ a^4 \cdot 6 }{ 9 \cdot a } \xlongequal{\text{Step 3}} \frac{ 6a^4 }{ 9a } \end{aligned} $$ |
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Simplify Rational Expressions