Roots and radicals

[MARIE]

Would someone mind double checking my work. Everytime I think I have a good grade, it turns out to be alot lower than I thought it would be.

1. x^2 y^-3 z ^-5 / x^-4 y ^ 3

= x^2 x^-4 z^-5/y^3 y^-3

= x^-2 z ^-5/y


2. 36x^2 y^5 z^3 (all of this is cubed by the square root)

= 6x^6 y^15 z^9

3. 4x^2 times the square root of x^5 y^2/ the square root of 2xy

= 4x^10 y^4/2xy

= 2x^9 y^3[/code]

 

[Denis]

x^2 y^-3 z ^-5 / x^-4 y ^ 3
= x^2 x^-4 z^-5/y^3 y^-3
= x^-2 z ^-5/y

Nooooooooooo; Rule: 1 / a^(-x) = a^x ; Rule: a^(-x) = 1 / a^x

AND you're missing brackets: should be: x^2 y^-3 z ^-5 / (x^-4 y^3) ;
understand why?

First step:
x^2 x^4 / (y^3 y^3 z^5)
I'll let you finish it.

You should be ok with the others now :idea: