# Express the following as powers of rational numbers;729/216 and 144/625

$\frac{729}{216}=\frac{{3}^{6}}{{6}^{3}}=\frac{{3}^{6}}{{2}^{3}*{3}^{3}}=\frac{{3}^{6-3}}{{2}^{3}}=\frac{{3}^{3}}{{2}^{3}}={\left(\frac{3}{2}\right)}^{3};\phantom{\rule{0ex}{0ex}}\frac{144}{625}=\frac{{12}^{2}}{{5}^{4}}=\frac{{12}^{2}}{{25}^{2}}={\left(\frac{12}{25}\right)}^{2}$

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