Question
Answer
$$\dfrac{125}{q^{17}}y^{33}=\dfrac{125y^{33}}{q^{17}}$$
Explanation
| $$ \begin{aligned}\frac{125}{q^{17}}y^{33}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{125y^{33}}{q^{17}}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{125}{q^{17}} $ by $ y^{33} $ to get $ \dfrac{ 125y^{33} }{ q^{17} } $. Step 1: Write $ y^{33} $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{125}{q^{17}} \cdot y^{33} & \xlongequal{\text{Step 1}} \frac{125}{q^{17}} \cdot \frac{y^{33}}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 125 \cdot y^{33} }{ q^{17} \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 125y^{33} }{ q^{17} } \end{aligned} $$ |
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