Question

I WILL GIVE YOU A MEDAL AND FAN YOU!
Choose the correct simplification of the expression (x2y)2.

x4y3

x6y6

x4y2

xy4

Answer 1

You need these two rules:

Rule:
\( (a^m)^n = a^{mn} \)

Rule:
\((ab)^m = a^mb^m \)

Answer 2

And how do I use those rules @mathstudent55

Answer 3

Well what those rules state

1) when 2 exponents are separated by parenthesis...they are multiplied

2) when 2 different terms are in the parenthesis...each is raised to that power on the outside of the parenthesis

so

\[(x^2y)^2\]

becomes

\[x^{2\times 2} \times y^2 \]

so what is x^(2*2)

Answer 4

x^4y^2

Answer 5

That would be correct!