9514 1404 393
Answer:
(15/14)² = 225/196
Step-by-step explanation:
Evaluating the expressions inside parentheses, we can see they are the same, eliminating a bit of work.
[tex](\frac{5}{7}\times\frac{3}{2})^5\div(\frac{5}{2}\times\frac{3}{7})^3=(\frac{15}{14})^5\div(\frac{15}{14})^3=(\frac{15}{14})^{5-3}=\boxed{(\frac{15}{14})^2=\frac{225}{196}}[/tex]
