Answer
$$14\cdot\frac{q^4}{10}q^4=\frac{14q^8}{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}14 \cdot \frac{q^4}{10}q^4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{14q^4}{10}q^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{14q^8}{10}\end{aligned} $$ | |
| ① | Multiply $14$ by $ \dfrac{q^4}{10} $ to get $ \dfrac{ 14q^4 }{ 10 } $. Step 1: Write $ 14 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 14 \cdot \frac{q^4}{10} & \xlongequal{\text{Step 1}} \frac{14}{\color{red}{1}} \cdot \frac{q^4}{10} \xlongequal{\text{Step 2}} \frac{ 14 \cdot q^4 }{ 1 \cdot 10 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 14q^4 }{ 10 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{14q^4}{10} $ by $ q^4 $ to get $ \dfrac{ 14q^8 }{ 10 } $. Step 1: Write $ q^4 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{14q^4}{10} \cdot q^4 & \xlongequal{\text{Step 1}} \frac{14q^4}{10} \cdot \frac{q^4}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 14q^4 \cdot q^4 }{ 10 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 14q^8 }{ 10 } \end{aligned} $$ |
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