Answer
$$30\cdot\frac{a^4}{15}a^7=\frac{30a^{11}}{15}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}30 \cdot \frac{a^4}{15}a^7& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{30a^4}{15}a^7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{30a^{11}}{15}\end{aligned} $$ | |
| ① | Multiply $30$ by $ \dfrac{a^4}{15} $ to get $ \dfrac{ 30a^4 }{ 15 } $. Step 1: Write $ 30 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 30 \cdot \frac{a^4}{15} & \xlongequal{\text{Step 1}} \frac{30}{\color{red}{1}} \cdot \frac{a^4}{15} \xlongequal{\text{Step 2}} \frac{ 30 \cdot a^4 }{ 1 \cdot 15 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 30a^4 }{ 15 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{30a^4}{15} $ by $ a^7 $ to get $ \dfrac{ 30a^{11} }{ 15 } $. Step 1: Write $ a^7 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{30a^4}{15} \cdot a^7 & \xlongequal{\text{Step 1}} \frac{30a^4}{15} \cdot \frac{a^7}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 30a^4 \cdot a^7 }{ 15 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 30a^{11} }{ 15 } \end{aligned} $$ |
This page was created using
Simplify Rational Expressions