anonymous
  • anonymous
Rewrite in simplest radical form 1/x^-3/6.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\frac{ 1 }{ x^{\frac{ -3 }{ 6 }} }\]
welshfella
  • welshfella
Hint: 1 / a^-2 = a^2
anonymous
  • anonymous
So, x^3/6? Do you just make it positive?

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

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