A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

smurfy14

  • 5 years ago

simplify (-32a^10)^(3/5)

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  2. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no. what do you mean 5th roots??

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So 5th roots are kind of like square roots

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4 is the square of 2, so \(\sqrt{4}=2\).

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(2^{5}=32\), so \(32^{1/5}=2\).

  6. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok and you get a^2 by dividing 10 by 5 right?...so what happened to the denominator of five outside the ()?

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That goes away because we divided the powers by 5.

  8. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ...ok so is that the final answer?

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well no, now you still have to cube it.

  10. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -8a^6 correct?

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Perfect.

  12. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok cool so how would you do (9^(1/2)+16^(1/2))^-2?

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ick, that's an ugly one. Are you sure there is a plus in there?

  14. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha ya

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Stupid me, it's way easy, 9 and 16 are squares.

  16. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok i see it :P do you know what 7^-2 would be?

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{1}{7^{2}}\], right?, which then becomes? (leave it in a fraction)

  18. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Actually, I can't sorry, I have to take off. I am tutoring someone at 5.

  20. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok well thanks for the help!

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're very welcome, sorry I couldn't help you on the other four.

  22. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its fine.

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.