Question

Simplify (6x^-2)^2(0.5x)^4 show work please

Answer 1

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

Answer 2

`(6x^(-2))^2(0.5x)^4=(9)/(4)`

Explanation:

The given equation is:

`(6x^(-2))^2(0.5x)^4`

Simplifying the above given equation, we get

=
`(36x^(-4))((1)/(2)x)^4`

=
`36x^(-4)((1)/(16))x^4`

=
`(36)/(16)x^(-4+4)`

=
`(36)/(16)`

=
`(9)/(4)`

Thus,
`(6x^(-2))^2(0.5x)^4=(9)/(4)`

which is the requires simplified form.