Question

Simplify. (a^3b^–4)^3

Answer 1

options:
1/a^3b^3
1/ab
a^9/b^12
a^6/b^7

Answer 2

ok first we use distributive property (Multiplication) which is\[(xy)^{a}=x ^{a}y y^{a}\]
can you set it up?

Answer 3

If not here it is\[(a ^{3})^{3}(b ^{-4})^{3}\]

what o we do with the two 3's in the equation @Bananas1234

Answer 4

You the @Bananas1234

Answer 5

Um.. idk the answer... :P

Answer 6

@Bananas1234 you there

Answer 7

yes, sorry i had to step away for a min.

Answer 8

add the 3s together to get a^6?

Answer 9

Nope we simplify right? what do we get? and give it to me in the equation form

Answer 10

we could divide them then all that would be left is a?

Answer 11

Nope simplify means or multiply :D

Answer 12

a^9?

Answer 13

Good so we are left with??

Answer 14

(b^-4)^3

Answer 15

you forgot the a9

Answer 16

so \[a ^{9}(b ^{-4})^{3}\]

so what do we do with the next sie the -4 and 3

Answer 17

multiply or divide?

Answer 18

Its like we did above :D and put it into the equation like above

Answer 19

b^12?

Answer 20

Your missing something
again (-4)(3)

Answer 21

-12?

Answer 22

Good so we have \[a ^{9}b ^{-12}\]

Answer 23

Ok now we use Negative Power Rule \[x ^{-a}=\frac{ 1 }{ x^{a} }\]

Can you set it up as that?

Answer 24

a^-9 = 1/b^-12? sorry if that is wrong

Answer 25

Its ok is the 9 Negative?

Answer 26

no

Answer 27

So its actually?

Answer 28

b^12 = 1/a^9

Answer 29

Good so when we simply we get or just put it into a fraction what do we have?

Answer 30

a^9/b^12

Answer 31

Correct :D There you go :D

Answer 32

Great job :D

Answer 33

so whats the answer?

Answer 34

C

Answer 35

Correct

Answer 36

Thank you!

Answer 37

Anytime :D