simplify: (16y^8/4y^2)^-4

Question

anonymous · Answer

$$\frac{ 1 }{ 256y^{40} }$$

andriod09 · Answer

so what do you already know how to do on this question?

anonymous · Answer

nothing. im completely confused.

andriod09 · Answer

wait, how do you have an exponent on an exponent?

anonymous · Answer

@Corey_ONeal I tried that answer it wasnt right.

anonymous · Answer

what do you mean?

andriod09 · Answer

$$(16y^8\div4y^2)^{-4}$$ nvm. i found it.

anonymous · Answer

ok

andriod09 · Answer

so what do you know about it?

anonymous · Answer

im not really sure. im helping a friend out and now im frustrated because i cant figure out the answer to the question.

anonymous · Answer

do you know how to do it?

andriod09 · Answer

use order of operations to help you. 
P arenthesis
E xponents
M ultiplication
D ivision
A ddition
S ubtraction

anonymous · Answer

im still really confused. i did the parentheses which is 16/4=4. then  exponents is 8/2=4.

andriod09 · Answer

you don't divide exponets, you multiply them by the product of the answer. and it would be: $$16y^8\div4y^2=4^2y^2$$ which would give you $$4^2y^2=16y^2$$

andriod09 · Answer

$$16y^4$$ my bad

anonymous · Answer

what do i do after that?