Question
Answer
$$m^{0.2}\dfrac{n^{0.14285714285714}}{m^{0.25}}n^{0.28571428571429}=1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}m^{0.2}\frac{n^{0.14285714285714}}{m^{0.25}}n^{0.28571428571429}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1 \cdot \frac{n^{0.14285714285714}}{m^{0.25}}\cdot1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}1\cdot\frac{1}{1}\cdot1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}1\cdot1\cdot1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}1\cdot1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}1\end{aligned} $$ | |
| ① | A non-zero polynomial raised to the power of 0 equals 1.A non-zero polynomial raised to the power of 0 equals 1. |
| ② | A non-zero polynomial raised to the power of 0 equals 1. |
| ③ | A non-zero polynomial raised to the power of 0 equals 1. |
| ④ | Remove 1 from denominator. |
| ⑤ | $ 1 \cdot 1 = 1 $ |
| ⑥ | $ 1 \cdot 1 = 1 $ |
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