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Question
$$\frac{x^5}{x^{27}} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{x^5}{x^{27}} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^{27} }. \\[1 em]x^{27}\frac{x^5}{x^{27}} &= x^{27}\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{1}{x^5} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^5 }. \\[1 em]x^5\cdot\frac{1}{x^5} &= x^5\cdot0&& \text{cancel out the denominators} \\[1 em]1 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1 = 0 } $ is FALSE, we conclude that the equation has no solution.
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