Question
Answer
$$4w^2z^4(-16w^2)\dfrac{z^2}{9w^4z^2}=-\dfrac{64w^4z^6}{9w^4z^2}$$
Explanation
| $$ \begin{aligned}4w^2z^4(-16w^2)\frac{z^2}{9w^4z^2}& \xlongequal{ }-64w^4z^4\frac{z^2}{9w^4z^2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{64w^4z^6}{9w^4z^2}\end{aligned} $$ | |
| ① | Multiply $-64w^4z^4$ by $ \dfrac{z^2}{9w^4z^2} $ to get $ \dfrac{ -64w^4z^6 }{ 9w^4z^2 } $. Step 1: Write $ -64w^4z^4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} -64w^4z^4 \cdot \frac{z^2}{9w^4z^2} & \xlongequal{\text{Step 1}} \frac{-64w^4z^4}{\color{red}{1}} \cdot \frac{z^2}{9w^4z^2} \xlongequal{\text{Step 2}} \frac{ \left( -64w^4z^4 \right) \cdot z^2 }{ 1 \cdot 9w^4z^2 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ -64w^4z^6 }{ 9w^4z^2 } \end{aligned} $$ |
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