Answer
$$\frac{50}{0.74+0.91i}\cdot(-0.1-0.24i)=50$$
Explanation
| $$ \begin{aligned}\frac{50}{0.74+0.91i}\cdot(-0.1-0.24i)& \xlongequal{ }\frac{50}{0.74+0.91i}\cdot(-0.1-0i) \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{50}{0.74+0i}\cdot(-0.1-0i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}50\end{aligned} $$ | |
| ① | Multiply $ \dfrac{50}{00i} $ by $ 00i $ to get $ 50$. Step 1: Write $ 00i $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Cancel $ \color{red}{ 00i } $ in first and second fraction. Step 3: Multiply numerators and denominators. $$ \begin{aligned} \frac{50}{00i} \cdot 00i & \xlongequal{\text{Step 1}} \frac{50}{00i} \cdot \frac{00i}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{50}{\color{red}{1}} \cdot \frac{\color{red}{1}}{1} = \\[1ex] &= \frac{50}{1} =50 \end{aligned} $$ |
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