Answer
$$16\cdot\frac{x^4}{10}x=\frac{16x^5}{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}16 \cdot \frac{x^4}{10}x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{16x^4}{10}x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{16x^5}{10}\end{aligned} $$ | |
| ① | Multiply $16$ by $ \dfrac{x^4}{10} $ to get $ \dfrac{ 16x^4 }{ 10 } $. Step 1: Write $ 16 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 16 \cdot \frac{x^4}{10} & \xlongequal{\text{Step 1}} \frac{16}{\color{red}{1}} \cdot \frac{x^4}{10} \xlongequal{\text{Step 2}} \frac{ 16 \cdot x^4 }{ 1 \cdot 10 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16x^4 }{ 10 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{16x^4}{10} $ by $ x $ to get $ \dfrac{ 16x^5 }{ 10 } $. Step 1: Write $ x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{16x^4}{10} \cdot x & \xlongequal{\text{Step 1}} \frac{16x^4}{10} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 16x^4 \cdot x }{ 10 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16x^5 }{ 10 } \end{aligned} $$ |
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