Question

(9^-6)^3=9

Answer 1

@uri

Answer 2

\(\large\color{black}{ (9^{-6})^3=9 }\) like this?

Answer 3

yes

Answer 4

That doesn't even equal...

Answer 5

\(\large\color{black}{ (a^{b})^c~~~~\Rightarrow ~~~a^{b \times c} }\)

Answer 6

apply this rule

Answer 7

What is your question asking to do with it?

Answer 8

ok

Answer 9

What is the question asking?

Answer 10

So \[(9^{-6})^{3}=9^{6*3}\]

Answer 11

don't forget the minus sign

Answer 12

minus/negative

Answer 13

ok so\[(9^{-6})^{3}=9^{-6*3}\]

Answer 14

like that?

Answer 15

@atruegenius
@SolomonZelman

Answer 16

yes

Answer 17

thats it?

Answer 18

Sao we get, \(\large\color{black}{ 9 ^{-6\times3}=1 }\)

Answer 19

simplify the exponent by multiplying inside of it

Answer 20

-6 times 3 ?

Answer 21

-18

Answer 22

yes, so we have: \(\large\color{black}{ 9 ^{-18}=1 }\)

Answer 23

my bad, \(\large\color{black}{ 9 ^{-18}=9 }\)

Answer 24

multiply that?

Answer 25

\(\large\color{black}{ 9 ^{-18}=9 }\)
\(\large\color{black}{ 9 ^{-18}=9^1 }\)

Answer 26

from that we have to say: \(\large\color{black}{ -18=1 }\)

but no, false: \(\large\color{black}{ -18\ne1 }\)

Answer 27

I'm confused??

Answer 28

@SolomonZelman

Answer 29

why are you confused?

Answer 30

\(\large\color{black}{ 9^{-18}=9 }\) this is where were at.

\(\large\color{black}{ 9^{-18}=9^1 }\) (because \(\large\color{black}{ 9=9^1 }\) )

Answer 31

then applying this:
~~~~~~~~~~~~~~~~~~~~~~
if \(\large\color{black}{ a^c=a^b }\)
then \(\large\color{black}{ c=b }\)

Answer 32

if \(\large\color{black}{ 9^{-18}=9^1 }\) then \(\large\color{black}{ -18=1 }\)

Answer 33

but you know that: \(\large\color{black}{ -18\ne1 }\)

Answer 34

what does that mean

Answer 35

= with a /