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Help! Will medal and fan!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Rewrite in simplest radical form Show each step of your process.
\[\frac{ 1 }{ x ^{\frac{ -3 }{ 6 }}}\]
Help. I think for the first step I'd have to divide by the reciprocal to get rid of the negative?

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Other answers:

mew
Yes that would be the first step.
Okay so I have that part, where do I go next? .-.
are you doing this on a graph or?
A graph? No...
just paper?
Okay i understand now. First, you can reduce 3/6
1/2
but it is -1/2 because of the negative 3
|dw:1443027853377:dw|
Do you know how to deal with a negative exponent?
Okay you seriously just confused me, can you walk me through each one of those steps... I'm still at the beginning.
signs okay do you have to write it all out or can i just give you the answer?
\[\frac{ 1 }{ x ^{\frac{ -1 }{ 2 }} }\] After reducing this is where we're at correct?
correct
No, I need to write it all out, to get to simplest radical form.
Just like the rule above of negative exponents works, this one also works: 1a−n=an A negative exponent in the denominator, is a positive exponent in the numerator.
Notice we have a similar thing to this last rule. We have a fraction with 1 over. Then in the denominator we have x to a negative exponent. It changes into just x to the positive exponent in the numerator, and the denominator disappears.
So wait it's just \[\frac{ 1 }{ x ^{1} }\]
?
ok look
|dw:1443028199288:dw|
this is your final answer :)
Oh okay, I see now. You confused me by saying that the denominator disappears.
sorry
I thought you meant in the exponent.
lol no ill try to be more clear next time :)
Erm is there a certain name for that rule up above? My teacher will want to know that.
I mean no not really, Im pretty sure if you just leave it as it she will understand no rule :)
Okay, Thanks. :)
no problem ^.^
a−n=1an a1n=a√n i was looking at this yesturday and realized these are your rules

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