Answer
$$\frac{(xy)^4}{y^3}\cdot\frac{2}{x^5}=\frac{2x^4y^4}{x^5y^3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{(xy)^4}{y^3}\cdot\frac{2}{x^5}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{x^4y^4}{y^3}\cdot\frac{2}{x^5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2x^4y^4}{x^5y^3}\end{aligned} $$ | |
| ① | $$ \left( xy \right)^4 = 1^4x^4y^4 = x^4y^4 $$ |
| ② | Multiply $ \dfrac{x^4y^4}{y^3} $ by $ \dfrac{2}{x^5} $ to get $ \dfrac{ 2x^4y^4 }{ x^5y^3 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{x^4y^4}{y^3} \cdot \frac{2}{x^5} & \xlongequal{\text{Step 1}} \frac{ x^4y^4 \cdot 2 }{ y^3 \cdot x^5 } \xlongequal{\text{Step 2}} \frac{ 2x^4y^4 }{ x^5y^3 } \end{aligned} $$ |
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Simplify Rational Expressions