Question

What is the value of this expression when a 3 and
27

Answer 1

Explanation:

`\bigg( \frac{3 {a}^( - 2) {b}^(6) }{2 {a}^( - 1) {b}^(5) } \bigg)^(2) \\ \\ = \bigg( \frac{3 {b}^(6 - 5) }{2 {a}^( 2- 1) } \bigg)^(2) \\ \\ = \bigg( \frac{3 {b}^(1) }{2 {a}^( 1) } \bigg)^(2) \\ \\ = \bigg( \frac{3 {b}}{2 {a}} \bigg)^(2) \\ \\ = \bigg( (3 * ( - 2))/(2 * 3) \bigg)^(2) \\ \\ = \bigg( ( - 6)/(6) \bigg)^(2) \\ \\ = ( - 1)^(2) \\ \\ \huge\red {\boxed {\therefore \: \bigg( \frac{3 {a}^( - 2) {b}^(6) }{2 {a}^( - 1) {b}^(5) } \bigg)^(2) = 1}} \\`