$$ \begin{aligned} \frac{6^{3+5}}{4} &= 72&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{6^{3+5}}{4} &= 4\cdot72&& \text{cancel out the denominators} \\[1 em]1679616 &= 288&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1679616 = 288 } $ is FALSE, we conclude that the equation has no solution.
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