Question
Answer
$$\dfrac{(2\dfrac{x}{y})^3}{\dfrac{x}{y^2}\dfrac{x}{y}}=\dfrac{(2\dfrac{x}{y})^3}{\dfrac{x^2}{y^3}}$$
Explanation
| $$ \begin{aligned}\frac{(2\frac{x}{y})^3}{\frac{x}{y^2}\frac{x}{y}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{(2\frac{x}{y})^3}{\frac{x^2}{y^3}}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{x}{y^2} $ by $ \dfrac{x}{y} $ to get $ \dfrac{ x^2 }{ y^3 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{x}{y^2} \cdot \frac{x}{y} \xlongequal{\text{Step 1}} \frac{ x \cdot x }{ y^2 \cdot y } \xlongequal{\text{Step 2}} \frac{ x^2 }{ y^3 } \end{aligned} $$ |
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Simplify Rational Expressions