Answer
$$\frac{3}{2}i=\frac{3i}{2}$$
Explanation
| $$ \begin{aligned}\frac{3}{2}i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3i}{2}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{3}{2} $ by $ i $ to get $ \dfrac{ 3i }{ 2 } $. Step 1: Write $ i $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{3}{2} \cdot i & \xlongequal{\text{Step 1}} \frac{3}{2} \cdot \frac{i}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 3 \cdot i }{ 2 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 3i }{ 2 } \end{aligned} $$ |
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