smurfy14
  • smurfy14
simplify (-32a^10)^(3/5)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
First, it's important to recognize that 32 and \(a^{10}\) are 5th powers. So, taking fifth roots, we get \((-2a^{2})^{3}\). Are you good from here?
smurfy14
  • smurfy14
no. what do you mean 5th roots??
anonymous
  • anonymous
So 5th roots are kind of like square roots

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More answers

anonymous
  • anonymous
4 is the square of 2, so \(\sqrt{4}=2\).
anonymous
  • anonymous
\(2^{5}=32\), so \(32^{1/5}=2\).
smurfy14
  • smurfy14
ok and you get a^2 by dividing 10 by 5 right?...so what happened to the denominator of five outside the ()?
anonymous
  • anonymous
That goes away because we divided the powers by 5.
smurfy14
  • smurfy14
...ok so is that the final answer?
anonymous
  • anonymous
Well no, now you still have to cube it.
smurfy14
  • smurfy14
-8a^6 correct?
anonymous
  • anonymous
Perfect.
smurfy14
  • smurfy14
ok cool so how would you do (9^(1/2)+16^(1/2))^-2?
anonymous
  • anonymous
Ick, that's an ugly one. Are you sure there is a plus in there?
smurfy14
  • smurfy14
haha ya
anonymous
  • anonymous
Stupid me, it's way easy, 9 and 16 are squares.
smurfy14
  • smurfy14
oh ok i see it :P do you know what 7^-2 would be?
anonymous
  • anonymous
\[\frac{1}{7^{2}}\], right?, which then becomes? (leave it in a fraction)
smurfy14
  • smurfy14
oh ok! if you dont mind could you help me with like four more? i have this as a precalc summer assignment and we havent learned any of this yet.
anonymous
  • anonymous
Actually, I can't sorry, I have to take off. I am tutoring someone at 5.
smurfy14
  • smurfy14
ok well thanks for the help!
anonymous
  • anonymous
You're very welcome, sorry I couldn't help you on the other four.
smurfy14
  • smurfy14
its fine.

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