Answer
$$\frac{7x^4}{25y^5}\frac{21x}{12y^4}=\frac{147x^5}{300y^9}$$
Explanation
| $$ \begin{aligned}\frac{7x^4}{25y^5}\frac{21x}{12y^4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{147x^5}{300y^9}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{7x^4}{25y^5} $ by $ \dfrac{21x}{12y^4} $ to get $ \dfrac{ 147x^5 }{ 300y^9 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{7x^4}{25y^5} \cdot \frac{21x}{12y^4} & \xlongequal{\text{Step 1}} \frac{ 7x^4 \cdot 21x }{ 25y^5 \cdot 12y^4 } \xlongequal{\text{Step 2}} \frac{ 147x^5 }{ 300y^9 } \end{aligned} $$ |
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Simplify Rational Expressions