Rewrite in simplest radical form 1/x^-3/6.

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Rewrite in simplest radical form 1/x^-3/6.

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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\[\frac{ 1 }{ x^{\frac{ -3 }{ 6 }} }\]
Hint: 1 / a^-2 = a^2
So, x^3/6? Do you just make it positive?

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yes that is correct now simplify 3/6
3/6 = ?
How do you simplify that? ?/3?
3/6 = 1/2
May you explain how you did that, for me.
its just making the fraction simpler by dividing top and bottom by a common factor The common factor in this case is 3. so |dw:1442936965530:dw|
Oh okay.
so now we have x^(1/2) - what is that in radical form?
Would it be x^1/2?
no that is in exponent form The 1/2 is the exponent. I wrote it in brackets but you dont have to.
a radical is a square root , cube root etc
|dw:1442937241797:dw|
\[\sqrt{x \frac{ 1 }{ 2 }}\] ?
now with a square root you dont usually write the 2 |dw:1442937378285:dw|
|dw:1442937441996:dw|
So the 1/2 just disappears? Sorry for all these dumb questions I just don't understand this.
yes
|dw:1442937593827:dw|
so in this case ur answer is |dw:1442937659225:dw|
you can put the 2 before the root sign if you care to but its not necessary. The 2 is understood.
follow?
Yeah
Thank you for helping me understand this better :)
If the numerator is greater that 1 then that is a power so |dw:1442937832202:dw|
yw

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