Question

Is (xy^2)^3 the same as (xy^3)^2

Answer 1

Answer:

no

Step-by-step explanation:

(xy²)³ = x³$y^{2(3)}$ = x³$y^{6}$

(xy³)² = x²$y^{3(2)}$ = x²$y^{6}$

Answer 2

Answer:

yes

Step-by-step explanation:

Mathematical rules tell you that you can multiply the powers, so in both cases the result will be xy^(6).

To check it, let's write it out.

1.

xy^2 means xy*xy

(xy*xy)^3 means (xy*xy)*(xy*xy)*(xy*xy) = xy^6

2.

xy^3 means xy*xy*xy

(xy*xy*xy)^2 means (xy*xy*xy)*(xy*xy*xy)= xy^6