Answer
$$32x^3y^2 \cdot \frac{z^5}{8^2}=\frac{32x^3y^2z^5}{64}$$
Explanation
| $$ \begin{aligned}32x^3y^2\frac{z^5}{8^2}& \xlongequal{ }32x^3y^2\frac{z^5}{64} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{32x^3y^2z^5}{64}\end{aligned} $$ | |
| ① | Multiply $32x^3y^2$ by $ \dfrac{z^5}{64} $ to get $ \dfrac{ 32x^3y^2z^5 }{ 64 } $. Step 1: Write $ 32x^3y^2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 32x^3y^2 \cdot \frac{z^5}{64} & \xlongequal{\text{Step 1}} \frac{32x^3y^2}{\color{red}{1}} \cdot \frac{z^5}{64} \xlongequal{\text{Step 2}} \frac{ 32x^3y^2 \cdot z^5 }{ 1 \cdot 64 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 32x^3y^2z^5 }{ 64 } \end{aligned} $$ |
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