Question

Simplify the expression

Answer 1

Answer:
$\frac{4}{x^2}$

Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ / xᵇ = xᵃ⁻ᵇ
(xᵃ)ᵇ = xᵃᵇ

Now, for the given:
$( \frac{6x^3}{3x^4} )^2$

We will start by simplifying what's in the brackets and apply the square:
$( \frac{6x^3}{3x^4} )^2$

= $(2x^{3-4})^2$

= $(2 x^{-1} )^2$

= $(2)^2 * ( x^{-1} )^2$

= $4x^{-2}$

= $\frac{4}{x^2}$

Hope this helps :)

Answer 2

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

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

$= \bigg( 2x^{-1}} \bigg)^2$

$= 4x^{-2}$

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