Help! Will medal and fan!

- anonymous

Help! Will medal and fan!

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- anonymous

Rewrite in simplest radical form Show each step of your process.

- anonymous

\[\frac{ 1 }{ x ^{\frac{ -3 }{ 6 }}}\]

- anonymous

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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## More answers

- anonymous

mew

- anonymous

Yes that would be the first step.

- anonymous

Okay so I have that part, where do I go next? .-.

- anonymous

are you doing this on a graph or?

- anonymous

A graph? No...

- anonymous

just paper?

- anonymous

Okay i understand now. First, you can reduce 3/6

- anonymous

1/2

- anonymous

but it is -1/2 because of the negative 3

- anonymous

|dw:1443027853377:dw|

- anonymous

Do you know how to deal with a negative exponent?

- anonymous

Okay you seriously just confused me, can you walk me through each one of those steps... I'm still at the beginning.

- anonymous

signs okay do you have to write it all out or can i just give you the answer?

- anonymous

\[\frac{ 1 }{ x ^{\frac{ -1 }{ 2 }} }\]
After reducing this is where we're at correct?

- anonymous

correct

- anonymous

No, I need to write it all out, to get to simplest radical form.

- anonymous

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.

- anonymous

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.

- anonymous

So wait it's just \[\frac{ 1 }{ x ^{1} }\]

- anonymous

?

- anonymous

ok look

- anonymous

|dw:1443028199288:dw|

- anonymous

this is your final answer :)

- anonymous

Oh okay, I see now. You confused me by saying that the denominator disappears.

- anonymous

sorry

- anonymous

I thought you meant in the exponent.

- anonymous

lol no ill try to be more clear next time :)

- anonymous

Erm is there a certain name for that rule up above? My teacher will want to know that.

- anonymous

I mean no not really, Im pretty sure if you just leave it as it she will understand no rule :)

- anonymous

Okay, Thanks. :)

- anonymous

no problem ^.^

- anonymous

a−n=1an
a1n=a√n
i was looking at this yesturday and realized these are your rules

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