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christinaxxx Group Title

okay, so what is the answer to (sqrt10xthirdroot10)^8 ?

  • one year ago
  • one year ago

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  1. christinaxxx Group Title
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    yupp!

    • one year ago
  2. christinaxxx Group Title
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    The answer I got was 10,000xsqrt100000000....

    • one year ago
  3. Kainui Group Title
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    http://www.wolframalpha.com/input/?i=(sqrt10xthirdroot10)%5E8&t=crmtb01

    • one year ago
  4. christinaxxx Group Title
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    how did you get the 1,000,000...

    • one year ago
  5. christinaxxx Group Title
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    could anyone explain to me how to get the answer..

    • one year ago
  6. chaguanas Group Title
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    Sometimes you might find it easier to work with exponents. Here are the rules\[\sqrt{x}=x ^{^{\frac{ 1 }{ 2 }}}\]

    • one year ago
  7. christinaxxx Group Title
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    mhmmm, so it be (10^1/2x10^1/3)^8

    • one year ago
  8. christinaxxx Group Title
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    but what do I do from there?

    • one year ago
  9. chaguanas Group Title
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    You go back to first class of algebra\[a ^{m}a ^{n}=a ^{m+n}\]\[(a ^{m})^{n}=a ^{mn}\]

    • one year ago
  10. christinaxxx Group Title
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    okay I got 10^20/3......where do I get 1,000,000x10^2/3 from that ?

    • one year ago
  11. chaguanas Group Title
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    That is a computer's 'computation', your teacher wouldn't normally expect that result. But if both you and Wolfram are correct, it is a good way to double check your answer.

    • one year ago
  12. chaguanas Group Title
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    I mean he wouldn't expect it expressed that way.

    • one year ago
  13. christinaxxx Group Title
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    .....

    • one year ago
  14. satellite73 Group Title
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    the square root of ten to the power of eight is the same as ten to the power of four

    • one year ago
  15. satellite73 Group Title
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    \(\sqrt{10}^8=10^4=10000\)

    • one year ago
  16. satellite73 Group Title
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    the cubed root of ten to the power of eight is ten squared times the cube root of ten to the second power, because three goes in to eight twice, with a remainder of two

    • one year ago
  17. satellite73 Group Title
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    \[\sqrt[3]{10}^8=10^2\sqrt[3]{10^2}=100\sqrt[3]{100}\]

    • one year ago
  18. satellite73 Group Title
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    multiply those together for your answer

    • one year ago
  19. satellite73 Group Title
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    \[1000\times 100\times \sqrt[3]{100}=1,000,000\sqrt[3]{100}\]

    • one year ago
  20. chaguanas Group Title
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    Good, now you have two different methods. Last one is a little typo, 1000 should be 10000

    • one year ago
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