Question

Evaluate (-3/2)^5÷(-9/4)^3​

Answer 1

$= = > \: \: { \left( - \frac{3}{2} \right) }^{5} \times { \left( - \frac{9}{4} \right)}^{3} \\ \\ = = > \: \: { \left( - \frac{3}{2} \right)}^{5} \times { \left( - \frac{ {3}^{2} }{ {2}^{2} } \right)}^{ 3} \\ \\ = = > \: \: { \left( - \frac{3}{2} \right)}^{5} \times { \left( - \frac{3}{2} \right)}^{6} \\ \\ = = > \: \: { \left( - \frac{3}{2} \right)}^{5 + 6} \\ \\ = = > \: \: { \left( - \frac{3}{2} \right)}^{11}$