Question

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

Answer 1

yes

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

Answer 2

no

Explanation:

(xy²)³ = x³
`y^(2(3))` = x³
`y^(6)`

(xy³)² = x²
`y^(3(2))` = x²
`y^(6)`