Question
Answer
$$90\cdot\dfrac{a^4}{81}a^2=\dfrac{90a^6}{81}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}90 \cdot \frac{a^4}{81}a^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{90a^4}{81}a^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{90a^6}{81}\end{aligned} $$ | |
| ① | Multiply $90$ by $ \dfrac{a^4}{81} $ to get $ \dfrac{ 90a^4 }{ 81 } $. Step 1: Write $ 90 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 90 \cdot \frac{a^4}{81} & \xlongequal{\text{Step 1}} \frac{90}{\color{red}{1}} \cdot \frac{a^4}{81} \xlongequal{\text{Step 2}} \frac{ 90 \cdot a^4 }{ 1 \cdot 81 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 90a^4 }{ 81 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{90a^4}{81} $ by $ a^2 $ to get $ \dfrac{ 90a^6 }{ 81 } $. Step 1: Write $ a^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{90a^4}{81} \cdot a^2 & \xlongequal{\text{Step 1}} \frac{90a^4}{81} \cdot \frac{a^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 90a^4 \cdot a^2 }{ 81 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 90a^6 }{ 81 } \end{aligned} $$ |
This page was created using
Simplify Rational Expressions