Choose the correct simplification of the expression (5xy^5)^2(y^3)^4.
25x^2y^22
10x^2y^22
25x^3y^14
10x^3y^14

Question

Choose the correct simplification of the expression (5xy^5)^2(y^3)^4.
25x^2y^22
10x^2y^22
25x^3y^14
10x^3y^14

whpalmer4 · Answer

Two properties of exponents needed here:

$$(ab)^n = a^nb^n$$$$a^n*a^m = a^{n+m}$$

And don't forget that $$a^1 = a$$

anonymous · Answer

first option

whpalmer4 · Answer

Okay, you also can use
$$(a^n)^m = a^{n*m}$$

whpalmer4 · Answer

$$(5xy^5)^2 = (5xy^5)*(5xy^5) = (5*5)*(x*x)*(y^5*y^5) = 25x^2y^{10}$$Repeat the process with the other part and multiply them together to get the final answer.

whpalmer4 · Answer

You could also do it like this:
$$(5xy^5)^2 = (5)^2*x^2*(y^5)^2 = 25*x^2*y^{2*5} = 25x^2y^{10}$$

anonymous · Answer

i dont like u go away. and 25x^2y^10 isnt one of the answer choices so its obviously wrong. btw 1 day and counting and i still havent gotten that explaination. am i fit to have an attitude now ? i think so.

whpalmer4 · Answer

I only explained how to do part of this problem.  You need to do the rest.  OpenStudy isn't here for you to just get the answers.

anonymous · Answer

u have already said this. dont repeat yourself like a stupid person. u cause me to repeat MYSELF, which i hate. so like i said before, i want the full explaination. not half. please jus stop "answering" my questions and leave me alone.