Question

Which shows how to find the value of this expression when x=-2 and y=5? (3x^3y^-2)^2

Answer 1

Explanation:

(3(-2)*3(5)*-2)^2

(-6*15*-2)^2

180^2

32,400

Answer 2

`\Rightarrow (576)/(625)`

Explanation:

Given:

Expression,
`(3x^3y^(-2))^2`

To find the value of expression at x=-3 and y=5

Put the values into expression

`\Rightarrow (3(-2)^3(5)^(-2))^2`

`\Rightarrow (3\cdot -8\cdot (1)/(25))^2`
`\because x^(-m)=(1)/(x^m)`

`\Rightarrow (-(24)/(25))^2`

`\Rightarrow (576)/(625)`

Hence, The value of expression would be
`\Rightarrow (576)/(625)`