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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?

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?

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.

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