Question
Answer
$$\dfrac{1}{2}x^4\cdot16x^5=\dfrac{16x^9}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{2}x^4\cdot16x^5& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{x^4}{2}\cdot16x^5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{16x^9}{2}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{1}{2} $ by $ x^4 $ to get $ \dfrac{ x^4 }{ 2 } $. Step 1: Write $ x^4 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{1}{2} \cdot x^4 & \xlongequal{\text{Step 1}} \frac{1}{2} \cdot \frac{x^4}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 1 \cdot x^4 }{ 2 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ x^4 }{ 2 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{x^4}{2} $ by $ 16x^5 $ to get $ \dfrac{ 16x^9 }{ 2 } $. Step 1: Write $ 16x^5 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{x^4}{2} \cdot 16x^5 & \xlongequal{\text{Step 1}} \frac{x^4}{2} \cdot \frac{16x^5}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ x^4 \cdot 16x^5 }{ 2 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16x^9 }{ 2 } \end{aligned} $$ |
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