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