Solution 1.3:3b

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If we divide 243 successively by 3, we see that

\displaystyle \begin{align}

243 &= 3\cdot 81 = 3\cdot 3\cdot 27 = 3\cdot 3\cdot 3\cdot 9 \\[5pt] &= 3\cdot 3\cdot 3\cdot 3\cdot 3 = 3^{5}\,\textrm{.} \end{align}