Question

Simplify the expression

Answer 1

`\bigg( \cfrac{6x^3}{3x^4} \bigg)^2`


`= \bigg( 2x^(3-4)} \bigg)^2`


`= \bigg( 2x^(-1)} \bigg)^2`


`= 4x^(-2)`


`= \cfrac{4}{x^2}`

Answer 2

Answer:

`(4)/(x^2)`

Step-by-step explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ / xᵇ = xᵃ⁻ᵇ
(xᵃ)ᵇ = xᵃᵇ

Now, for the given:

`( (6x^3)/(3x^4) )^2`

We will start by simplifying what's in the brackets and apply the square:

`( (6x^3)/(3x^4) )^2`

=
`(2x^(3-4))^2`

=
`(2 x^(-1) )^2`

=
`(2)^2 * ( x^(-1) )^2`

=
`4x^(-2)`

=
`(4)/(x^2)`

Hope this helps :)