Question
Answer
$$36\cdot\dfrac{x^4}{42}x^7=\dfrac{36x^{11}}{42}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}36 \cdot \frac{x^4}{42}x^7& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{36x^4}{42}x^7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{36x^{11}}{42}\end{aligned} $$ | |
| ① | Multiply $36$ by $ \dfrac{x^4}{42} $ to get $ \dfrac{ 36x^4 }{ 42 } $. Step 1: Write $ 36 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 36 \cdot \frac{x^4}{42} & \xlongequal{\text{Step 1}} \frac{36}{\color{red}{1}} \cdot \frac{x^4}{42} \xlongequal{\text{Step 2}} \frac{ 36 \cdot x^4 }{ 1 \cdot 42 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36x^4 }{ 42 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{36x^4}{42} $ by $ x^7 $ to get $ \dfrac{ 36x^{11} }{ 42 } $. Step 1: Write $ x^7 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{36x^4}{42} \cdot x^7 & \xlongequal{\text{Step 1}} \frac{36x^4}{42} \cdot \frac{x^7}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 36x^4 \cdot x^7 }{ 42 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36x^{11} }{ 42 } \end{aligned} $$ |
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