Simplify:
Note: \uparrow means "to the power of"
(2xy\uparrow 3)\uparrow 2 (xy)\uparrow 3
Yes it is that. I have tried distributing the 2 to 2x and y. Then distributing the 3 to the x and the y.
Which got me this:
(2x{2} y{5})(x{3} y{3})

v
(4x y{5}) (x{3} y{3})
Then I multiplied the first parenthesis by the second parenthesis:
And I got this:
4x{6}y{15}
I checked at the back of my textbook but the answer is wrong.
Exponents multiply in some situations, and add in others. You have, for example,
$\displaystyle (x^{2})^{3}=x^{2}x^{2}x^{2}=x^{2\times 3}=x^{6}.$
So they multiply in that circumstance. If I just have
$\displaystyle x^{2}x^{3}=x^{5},$
then they add. Do not confuse those two situations!
You have made an error along these lines in your calculations. Try doing it again, with these rules in mind.