Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

ok who can help me with this problem ill post the link

OpenStudy (anonymous):

OpenStudy (freckles):

\[\frac{(-6)^{-4}+(-6)^{-2}}{-6^{-3}}\]

OpenStudy (freckles):

First of all I would write everything without a negative exponent.

OpenStudy (freckles):

\[a^{-n}=\frac{1}{a^{n}}\]

OpenStudy (freckles):

That is one way to begin the problem anyways.

OpenStudy (anonymous):

ok

OpenStudy (freckles):

Write here what you get after doing that ?

OpenStudy (freckles):

I would then get rid of the compound fractions after that.

OpenStudy (anonymous):

ok wouldn't it be -6^3/-6^4+-6^2 or did i do that completely wrong

OpenStudy (freckles):

\[\frac{1}{-6^{-3}} ((-6)^{-4}+(-6)^{-2}) \\ -6^{3}(\frac{1}{(-6)^4}+\frac{1}{(-6)^2})\]

OpenStudy (freckles):

now what is 6^3? (-6)^4? (-6)^2?

OpenStudy (freckles):

or actually we could reduce before multiplying

OpenStudy (freckles):

distribute the -6^3

OpenStudy (freckles):

a(b+c)=ab+ac

OpenStudy (freckles):

apply distribute property is what I'm saying

OpenStudy (anonymous):

yep understand

OpenStudy (anonymous):

ok what would i get for a answer I'm getting huge numbers

OpenStudy (freckles):

and also (-1)^even=1 so you could write (-6)^4 as 6^4 and (-6)^2 as 6^2

OpenStudy (freckles):

have you distribute the -6^3

OpenStudy (anonymous):

yes

OpenStudy (freckles):

write here what you have so I know

OpenStudy (anonymous):

well I'm getting -216/279936+-216/7776

OpenStudy (freckles):

well I wound't multiply all of that all quiet yet

OpenStudy (anonymous):

so am i able to cancel things before multiplying this is where I'm getting lost

OpenStudy (freckles):

\[\frac{1}{-6^{-3}} ((-6)^{-4}+(-6)^{-2}) \\ -6^{3}(\frac{1}{(-6)^4}+\frac{1}{(-6)^2}) \\ \frac{-6^3}{6^4}+\frac{-6^3}{6^2}\] because you can cancel some things :)

OpenStudy (freckles):

use the law of exponent rule that we have x^m/x^n=x^{m-n}

OpenStudy (anonymous):

ok so then i would get -6/6+-6/6

OpenStudy (freckles):

not exactly

OpenStudy (freckles):

\[\frac{-6^3}{6^4}=-6^{3-4}=-6^{-1}=-\frac{1}{6}\] you try the other addend

OpenStudy (freckles):

\[\frac{-6^3}{6^2}=?\]

OpenStudy (anonymous):

so that would be -6^1

OpenStudy (anonymous):

Thanks for your help i found the answer

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!