Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{{4}^{2}}{{3}^{2}}\times \frac{7}{5}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Simplify \({4}^{2}\) to \(16\).
\[\frac{\frac{16}{{3}^{2}}\times \frac{7}{5}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Simplify \({3}^{2}\) to \(9\).
\[\frac{\frac{16}{9}\times \frac{7}{5}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{16\times 7}{9\times 5}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Simplify \(16\times 7\) to \(112\).
\[\frac{\frac{112}{9\times 5}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Simplify \(9\times 5\) to \(45\).
\[\frac{\frac{112}{45}}{{(\frac{7}{5})}^{3}{(\frac{3}{4})}^{3}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{112}{45}}{\frac{{7}^{3}}{{5}^{3}}{(\frac{3}{4})}^{3}}\]
Simplify \({7}^{3}\) to \(343\).
\[\frac{\frac{112}{45}}{\frac{343}{{5}^{3}}{(\frac{3}{4})}^{3}}\]
Simplify \({5}^{3}\) to \(125\).
\[\frac{\frac{112}{45}}{\frac{343}{125}{(\frac{3}{4})}^{3}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\frac{112}{45}}{\frac{343}{125}\times \frac{{3}^{3}}{{4}^{3}}}\]
Simplify \({3}^{3}\) to \(27\).
\[\frac{\frac{112}{45}}{\frac{343}{125}\times \frac{27}{{4}^{3}}}\]
Simplify \({4}^{3}\) to \(64\).
\[\frac{\frac{112}{45}}{\frac{343}{125}\times \frac{27}{64}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{112}{45}}{\frac{343\times 27}{125\times 64}}\]
Simplify \(343\times 27\) to \(9261\).
\[\frac{\frac{112}{45}}{\frac{9261}{125\times 64}}\]
Simplify \(125\times 64\) to \(8000\).
\[\frac{\frac{112}{45}}{\frac{9261}{8000}}\]
Invert and multiply.
\[\frac{112}{45}\times \frac{8000}{9261}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{112\times 8000}{45\times 9261}\]
Simplify \(112\times 8000\) to \(896000\).
\[\frac{896000}{45\times 9261}\]
Simplify \(45\times 9261\) to \(416745\).
\[\frac{896000}{416745}\]
Simplify.
\[\frac{25600}{11907}\]
Decimal Form: 2.149996
25600/11907
