Question

Intermediate Algebra, simplifying complex fraction with exponents

Answer 1

Any help is appreciated, I'm having a hard time understanding this concept. If someone could please explain, preferably step-by-step, I would be internally grateful. Thank you

Answer 2

do you know what negative exponent means?

Answer 3

That's kinda what I don't get :P What should I do with the negative exponents?

Answer 4

use

x^(-1) = 1/x

3xy^3
( ------ )^(-3) *( y^(-2) z^4 ) =
z^(-1)

3xy^3 z^4
= ( ------ )^(-3) * ( ---- ) =
1 y^2
---
z


( 3xy^3 )^(-3) z^4
= ( --------------- ) * ( ----- ) =
1 y^2
( ----- )^(-3)
z

1
( --------- )
(3xy^3)^3 z^4
= ( -------------- ) * ( ----- ) =
z^3 y^2



1 z z
= ( ---------- ) * ( ---- ) = -----------
27x^3y^9 y^2 27x^3y^11

Answer 5

Thank you very much for the help! I know there were some rules involved with negative exponents and your explanation helped a lot <3 I'll study this a bit more, a lot of my class didn't get this including me x_x