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