yrivers36
  • yrivers36
Use properties of exponents to simplify the expression. Answer should not include any negative exponents. Please explain steps. (a^-1/2)^4/3 Thank you!
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
this is a power of a power. what do you do with the exponents? |dw:1333139611724:dw|
yrivers36
  • yrivers36
What I did with this problem was flip it and made it the denomenator and put 1 as the numerator
yrivers36
  • yrivers36
|dw:1333139712505:dw|

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anonymous
  • anonymous
ok.. that's good. but still, look at the denominator now... you still have a "power of a power". What do you do to the exponents in this case?
yrivers36
  • yrivers36
I think that I add them getting 1/a^11/6
anonymous
  • anonymous
|dw:1333139867932:dw| you still thing you add them?
anonymous
  • anonymous
*think*
yrivers36
  • yrivers36
ummm multiply
anonymous
  • anonymous
yep. in power of a power case, you multiply them... so what's your answer?
yrivers36
  • yrivers36
1/a^2/3
anonymous
  • anonymous
very nice! well done.. :)
yrivers36
  • yrivers36
Thank you so much!!!

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