Question
Answer
$$b^5 \cdot \dfrac{u^2}{b^6}u=\dfrac{b^5u^3}{b^6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}b^5\frac{u^2}{b^6}u& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{b^5u^2}{b^6}u \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{b^5u^3}{b^6}\end{aligned} $$ | |
| ① | Multiply $b^5$ by $ \dfrac{u^2}{b^6} $ to get $ \dfrac{ b^5u^2 }{ b^6 } $. Step 1: Write $ b^5 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} b^5 \cdot \frac{u^2}{b^6} & \xlongequal{\text{Step 1}} \frac{b^5}{\color{red}{1}} \cdot \frac{u^2}{b^6} \xlongequal{\text{Step 2}} \frac{ b^5 \cdot u^2 }{ 1 \cdot b^6 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ b^5u^2 }{ b^6 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{b^5u^2}{b^6} $ by $ u $ to get $ \dfrac{ b^5u^3 }{ b^6 } $. Step 1: Write $ u $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{b^5u^2}{b^6} \cdot u & \xlongequal{\text{Step 1}} \frac{b^5u^2}{b^6} \cdot \frac{u}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ b^5u^2 \cdot u }{ b^6 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ b^5u^3 }{ b^6 } \end{aligned} $$ |
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