Question

Simplify the expression attached!

Answer 1

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

Answer 2

idk how to simplify this :(

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

do 4 the next two brackets the same thing

Answer 9

kk was what i got right?

Answer 10

yes

Answer 11

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

Answer 12

yes

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

yeah hahah there we go :) thats better :)

Answer 18

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

Answer 19

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

Answer 20

yes just group them next to each other 1st

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

yes

Answer 25

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

Answer 26

here are the answer choices again so u don't need to scroll up :)

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

Answer 27

so which one is it then? @Jonask :)

Answer 28

c^(15-9)=c^6

Answer 29

so its a^15b^18c^6

Answer 30

so answer D? :)

Answer 31

@Jonask nvm i found it ahha :P it is D :) thanks!