anonymous
  • anonymous
Rewrite in simplest radical form (x^5/6)/x^1/6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
Is this the problem? |dw:1449599713714:dw|
anonymous
  • anonymous
yes!
ilvasq0510
  • ilvasq0510
Are there any answers?

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anonymous
  • anonymous
Like answer options? no
ilvasq0510
  • ilvasq0510
Oh I believe it is x2/3? Could that be possible?
mathstudent55
  • mathstudent55
When you divide powers with the same base, subtract the exponents.
mathstudent55
  • mathstudent55
|dw:1449600237274:dw|
mathstudent55
  • mathstudent55
Now we reduce the exponent: 4/6 = 2/3 |dw:1449600291461:dw|
mathstudent55
  • mathstudent55
The answer above is correct, but the problem asks for simplest radical form, so we need to write it as a root, not a fractional power.
mathstudent55
  • mathstudent55
|dw:1449600350257:dw|
anonymous
  • anonymous
thank you so much!
mathstudent55
  • mathstudent55
The number goes in the radical. The denominator of the exponent is the index of the root. The numerator of the exponent is the exponent of the number inside the radical. |dw:1449600471707:dw|
mathstudent55
  • mathstudent55
Now we do it to our result. |dw:1449600571567:dw|
mathstudent55
  • mathstudent55
|dw:1449600603217:dw|
mathstudent55
  • mathstudent55
You're welcome.

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