Exponents/radicals question

  • Thread starter JOhnJDC
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  • #1
JOhnJDC
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Homework Statement



Please help me understand how (v/pi)(2pi/v)2/3 equals 2(v/2pi)1/3

This is from my book.


The Attempt at a Solution



[(v)(22/3)(pi2/3)]/v2/3pi = 22/3(v/pi)1/3

What am I doing wrong? Thanks.

EDIT: I made a mistake in copying over my attempt; fixed now.
 
Last edited:

Answers and Replies

  • #2
JOhnJDC
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I'm beginning to think that my book is wrong and that my attempt is correct. Can anyone confirm?
 
  • #3
Mentallic
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You are both correct :wink:
 
  • #4
JOhnJDC
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You are both correct :wink:

I don't see how 22/3(v/pi)1/3 = 2(v/2pi)1/3 Can you explain?
 
Last edited:
  • #5
Mentallic
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[tex]2^{2/3}=2^{1-1/3}[/tex]

does it seem obvious now?
 
  • #6
JOhnJDC
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[tex]2^{2/3}=2^{1-1/3}[/tex]

does it seem obvious now?

Yes--I see it now. Thanks, Mentallic.
 

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