Rewrite in simplest radical form 1/x^-3/6. Please show each step of your process.Thank -you so much

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Rewrite in simplest radical form 1/x^-3/6. Please show each step of your process.Thank -you so much

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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Is this the problem? |dw:1434407986067:dw|
yes:)

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Other answers:

First, you can reduce 3/6
What is the fraction - 3/6 in simplest terms?
-1/2
Correct. |dw:1434408138951:dw|
Do you know how to deal with a negative exponent?
Here is the rule for negative exponents: \(\Large a^{-n} = \dfrac{1}{a^n} \)
1/x^2
Right?
No. There are two things with the exponent of x we need to deal with. 1. It is a negative exponent. 2. The exponent is a fraction. Let's deal only with the negative sign on the exponent for now.
Ok:)
Just like the rule above of negative exponents works, this one also works: \(\Large \dfrac{1}{a^{-n}} = a^n \) 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.
|dw:1434408609017:dw|
You see how the rule and what we have are similar?
Yes
But that wouldn't be our final answer, right?
Correct. We have one more step. We still need to deal with the fractional exponent.
Here is the rule for a fractional exponent with numerator 1: \(\Large a^{\frac{1}{n}} = \sqrt[n]{a} \)
A fractional exponent is a root. The denominator tells you which root it is.
|dw:1434408876045:dw|
I see. I see
That is the final answer. Here are all the steps in one single drawing: |dw:1434408951600:dw|
what happened to the 1/2?
@mathstudent55 sorry :) I'm just curious!
@mathstudent55 Is there a certain rule for this up above?
@mathstudent55 please helppp
@JasperRayWolf-Alysa88 We used two rules that I wrote above: \(\large a^{-n} = \dfrac{1}{a^n} \) \(\large a^{\frac{1}{n}} = \sqrt[n] a\)

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