Question

Question! Screenshot attached! Guide me through it?

Answer 1

(12xyz^-2)/(8x^-2z).

First simplify the constants 12/8, to get 3/2.
Any variable to a negative power equals a positive power on the other side of the fraction. This moves the z^-2 from the numerator to z^2 in the denominator and x^-2 in the denominator to x^2 in the numerator. Thus you end up with (3x^y)/(2z^3)

Answer 2

no

Answer 3

x/x^-2 = x^1/x^-2 = x^(1-(-2)) = x^3

Answer 4

so you got x^3 in the numerator and not x^2 :)

Answer 5

yes but it is wrong since you should have x^3 in the numerator :
lets look only at the x part :

x/x^-2 = x^1/x^-2 = x^(1-(-2)) = x^3

Answer 6

yes!:)

Answer 7

yw