anonymous
  • anonymous
Simplify the expression attached!
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
answer choices A,B,C,D from top to bottom :)
anonymous
  • anonymous
idk how to simplify this :(

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anonymous
  • anonymous
first use\[(a^b)^c=a^{bc}\]
anonymous
  • anonymous
okay but idk how to apply that here :( I'm kinda confused :( can u pls show me and explain how u got it too? :)
anonymous
  • anonymous
just write the powers outside the brackets on top of every number inside in multiplication form as the rule above
anonymous
  • anonymous
1st 1 \[(a^6b^3c^3)^5=a^{6(5)}b^{3(5)}c^{3(5)}\]
anonymous
  • anonymous
okay so i get a^11b^15c^15??
anonymous
  • anonymous
do 4 the next two brackets the same thing
anonymous
  • anonymous
kk was what i got right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
second one= a^-15b^6 ??
anonymous
  • anonymous
yes
anonymous
  • anonymous
and last one= b^-3c^-9 ?
anonymous
  • anonymous
I have a problem with 1st 1 5(6)=30
anonymous
  • anonymous
\[a^{30}b^{15}c^{15}\]
anonymous
  • anonymous
oh oops!! haha my bad i added by accident lol so yeah 30... how do i combine them now?
anonymous
  • anonymous
yeah hahah there we go :) thats better :)
anonymous
  • anonymous
so now you add all the power that have the same base\[a^ca^d=a^{c+d}\]
anonymous
  • anonymous
do u think u can write all the sums we got for all 3 brackets like u did above?? cuz when i write it like this it gets all jumbled up and idk how to write it like u did above... all nice and stuff haha :P
anonymous
  • anonymous
yes just group them next to each other 1st
anonymous
  • anonymous
(a^30b^15c^15)( a^-15b^6) (b^-3c^-9) ?? thats right yes?
anonymous
  • anonymous
a^(30-15)b^(15+6-3)c^(15-(-9))
anonymous
  • anonymous
kk so i get a^15b^18c^24 ??
anonymous
  • anonymous
yes
anonymous
  • anonymous
but thats not an answer chose... which is my answe then?
anonymous
  • anonymous
here are the answer choices again so u don't need to scroll up :) A,B,C,D from top to bottom :)
anonymous
  • anonymous
so which one is it then? @Jonask :)
anonymous
  • anonymous
c^(15-9)=c^6
anonymous
  • anonymous
so its a^15b^18c^6
anonymous
  • anonymous
so answer D? :)
anonymous
  • anonymous
@Jonask nvm i found it ahha :P it is D :) thanks!

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