Question

Simplify the following expression:

Answer 1

`{ \bf{a.}} \\ { \sf{( - 3y) {}^( - 2) }} \\ = { \sf{ - \frac{1}{9 {y}^(2) } }} \\ \\ { \bf{b.}} \\ = { \sf{ \frac{ {x}^( - (3a + 7b) - 8( - a - b)) }{ {x}^(a - 5b) } }} \\ \\ = { \sf{ \frac{ {x}^(5a - b) }{x {}^(a - 5b) } }} \\ \\ { \sf{ = {x}^(5a - b - a + 5b) }} \\ { \sf{ = {x}^(4(a + b)) }} \\ \\ { \bf{c.}} \\ { \sf{ \frac{ {3}^(5) }{( {3}^( - 7) / {3}^(9)) {}^(2) } }} \\ { \sf{ = \frac{ {3}^(5) }{ { {3}^(( - 7 - 9)) }^(2) } }} \\ \\ = { \sf{ \frac{ {3}^(5) }{ {3}^( - 32) } }} \\ = { \sf{ {3}^(5 - ( - 32)) }} \\ = { \sf{ {3}^(37) }}`