## iheartfood 3 years ago Simplify the expression attached!

1. iheartfood

2. iheartfood

answer choices A,B,C,D from top to bottom :)

3. iheartfood

idk how to simplify this :(

first use\[(a^b)^c=a^{bc}\]

5. iheartfood

okay but idk how to apply that here :( I'm kinda confused :( can u pls show me and explain how u got it too? :)

just write the powers outside the brackets on top of every number inside in multiplication form as the rule above

1st 1 \[(a^6b^3c^3)^5=a^{6(5)}b^{3(5)}c^{3(5)}\]

8. iheartfood

okay so i get a^11b^15c^15??

do 4 the next two brackets the same thing

10. iheartfood

kk was what i got right?

yes

12. iheartfood

second one= a^-15b^6 ??

yes

14. iheartfood

and last one= b^-3c^-9 ?

I have a problem with 1st 1 5(6)=30

\[a^{30}b^{15}c^{15}\]

17. iheartfood

oh oops!! haha my bad i added by accident lol so yeah 30... how do i combine them now?

18. iheartfood

yeah hahah there we go :) thats better :)

so now you add all the power that have the same base\[a^ca^d=a^{c+d}\]

20. iheartfood

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

yes just group them next to each other 1st

22. iheartfood

(a^30b^15c^15)( a^-15b^6) (b^-3c^-9) ?? thats right yes?

a^(30-15)b^(15+6-3)c^(15-(-9))

24. iheartfood

kk so i get a^15b^18c^24 ??

yes

26. iheartfood

but thats not an answer chose... which is my answe then?

27. iheartfood

here are the answer choices again so u don't need to scroll up :) A,B,C,D from top to bottom :)

28. iheartfood

so which one is it then? @Jonask :)

c^(15-9)=c^6

so its a^15b^18c^6

31. iheartfood