Question
$$\frac{b^7}{b^5} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{b^7}{b^5} &= 0&& \text{multiply ALL terms by } \color{blue}{ b^5 }. \\[1 em]b^5\frac{b^7}{b^5} &= b^5\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{1}{b^3} &= 0&& \text{multiply ALL terms by } \color{blue}{ b^3 }. \\[1 em]b^3\cdot\frac{1}{b^3} &= b^3\cdot0&& \text{cancel out the denominators} \\[1 em]1 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1 = 0 } $ is FALSE, we conclude that the equation has no solution.
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