Question

Evaluate (ab)exponent -2 if a =3 and b= -2. Show work.

Answer 1

The value of given expression is
`(1)/(36)`.

Explanation:

The given expression is

`(ab)^(-2)`

we need to find the value of given expression for a=3 and b=-2.

Substitute a=3 and b=-2 in the above expression.

`(3\cdot (-2))^(-2)`

`(-6)^(-2)`

Using property of exponent we get

`(1)/((-6)^(2))`
`[\because a^(-n)=(1)/(a^n)]`

`(1)/(36)`

Therefore, the value of given expression is
`(1)/(36)`.