Question

(2xy^3)^4 - (3x^2y^6)^2

Answer 1

and you're asking....?

Answer 2

Simplify.

Answer 3

uhmm distribute the exponent to every number

i.e. (2^4)(x^4)(y^3)^4

simplify that...then do the same for the second term

Answer 4

(y^3)^4 becomes y^12, right?

Answer 5

yep

Answer 6

\[(2x y{}^{\wedge}3){}^{\wedge}4-(3x{}^{\wedge}2y{}^{\wedge}6){}^{\wedge}2 \]Expand each side of the minus sign.\[16 x^4 y^{12}-9 x^4 y^{12} \]16 eggs minus 9 eggs is 7 eggs.\[7 x^4 y^{12} \]

Answer 7

OK, thanks!

Answer 8

Thank you for the medal.

Answer 9

You're welcome. :)