$$ \begin{aligned} \frac{x^4}{x^5} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^5 }. \\[1 em]x^5\frac{x^4}{x^5} &= x^5\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{1}{x^4} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^4 }. \\[1 em]x^4\cdot\frac{1}{x^4} &= x^4\cdot0&& \text{cancel out the denominators} \\[1 em]1 &= 0&& \\[1 em] \end{aligned} $$

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