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Simplify the expression

Simplify the expression-example-1
User Pilot
by
7.4k points

2 Answers

4 votes

\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}
User Goshika Mahesh
by
8.8k points
5 votes
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 :)
User David Zemens
by
8.5k points

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