Question

Describe his mistake

Answer 1

In (-3)^2, Henry multiplied -3 by 2. That is not correct. (-3)^2 = (-3)(-3) = 9. Additionally, a^3 • a^4 = a^7, and so

`{( - 5ab)}^(3) * {( - 3 {a}^(2) {b}^(2) )}^(2)`

`{( - 5)}^(3) {a}^(3) {b}^(3) * ( { - 3)}^(2) {a}^(4) {b}^(4)`

`( - 125 * 9) {a}^(7) {b}^(7) = 1125 {a}^(7) {b}^(7)`