Question

evaluate this question​

Answer 1

Step-by-step explanation:

$[( - \frac{2}{3})^{ - 3} - ( - \frac{3}{4})^{ - 3} ] \div { (\frac{3}{2} )}^{2} \\ \\ = [( - \frac{3}{2})^{ 3} - ( - \frac{4}{3})^{ 3} ] \div { \frac{9}{4} } \\ \\ = [- \frac{27}{8}- ( - \frac{64}{27}) ] \div { \frac{9}{4} } \\ \\= [- \frac{27}{8} + \frac{64}{27} ] \div { \frac{9}{4} } \\ \\= [\frac{ - 27 \times 27 + 64 \times 8}{8 \times 27} ] \div { \frac{9}{4} } \\ \\= [\frac{ - 729+ 512}{8 \times 27} ] \times { \frac{4}{9} } \\ \\ = \frac{ - 217}{8 \times 27} \times { \frac{4}{9} } \\ \\ = \frac{ - 217}{2\times 27} \times { \frac{1}{9} } \\ \\ = \frac{ - 217}{2\times 27} \times { \frac{1}{9} } \\ \\ = - \frac{ 217}{2\times 27 \times 9} \\ \\ = - \frac{ 217}{486}$