Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{{3}^{2}}{{2}^{2}}{(\frac{5}{7})}^{2}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \({3}^{2}\) to \(9\).
\[\frac{\frac{9}{{2}^{2}}{(\frac{5}{7})}^{2}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \({2}^{2}\) to \(4\).
\[\frac{\frac{9}{4}{(\frac{5}{7})}^{2}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{9}{4}\times \frac{{5}^{2}}{{7}^{2}}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \({5}^{2}\) to \(25\).
\[\frac{\frac{9}{4}\times \frac{25}{{7}^{2}}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \({7}^{2}\) to \(49\).
\[\frac{\frac{9}{4}\times \frac{25}{49}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{9\times 25}{4\times 49}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \(9\times 25\) to \(225\).
\[\frac{\frac{225}{4\times 49}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Simplify \(4\times 49\) to \(196\).
\[\frac{\frac{225}{196}}{{(\frac{5}{7})}^{3}{(\frac{4}{3})}^{2}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{225}{196}}{\frac{{5}^{3}}{{7}^{3}}{(\frac{4}{3})}^{2}}\]
Simplify \({5}^{3}\) to \(125\).
\[\frac{\frac{225}{196}}{\frac{125}{{7}^{3}}{(\frac{4}{3})}^{2}}\]
Simplify \({7}^{3}\) to \(343\).
\[\frac{\frac{225}{196}}{\frac{125}{343}{(\frac{4}{3})}^{2}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{225}{196}}{\frac{125}{343}\times \frac{{4}^{2}}{{3}^{2}}}\]
Simplify \({4}^{2}\) to \(16\).
\[\frac{\frac{225}{196}}{\frac{125}{343}\times \frac{16}{{3}^{2}}}\]
Simplify \({3}^{2}\) to \(9\).
\[\frac{\frac{225}{196}}{\frac{125}{343}\times \frac{16}{9}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{225}{196}}{\frac{125\times 16}{343\times 9}}\]
Simplify \(125\times 16\) to \(2000\).
\[\frac{\frac{225}{196}}{\frac{2000}{343\times 9}}\]
Simplify \(343\times 9\) to \(3087\).
\[\frac{\frac{225}{196}}{\frac{2000}{3087}}\]
Invert and multiply.
\[\frac{225}{196}\times \frac{3087}{2000}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{225\times 3087}{196\times 2000}\]
Simplify \(225\times 3087\) to \(694575\).
\[\frac{694575}{196\times 2000}\]
Simplify \(196\times 2000\) to \(392000\).
\[\frac{694575}{392000}\]
Simplify.
\[\frac{567}{320}\]
Decimal Form: 1.771875
567/320
