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christinaxxx

  • 2 years ago

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

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  1. christinaxxx
    • 2 years ago
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    yupp!

  2. christinaxxx
    • 2 years ago
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    The answer I got was 10,000xsqrt100000000....

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

  4. christinaxxx
    • 2 years ago
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    how did you get the 1,000,000...

  5. christinaxxx
    • 2 years ago
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    could anyone explain to me how to get the answer..

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

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

  8. christinaxxx
    • 2 years ago
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    but what do I do from there?

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

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

  11. chaguanas
    • 2 years ago
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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.

  12. chaguanas
    • 2 years ago
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    I mean he wouldn't expect it expressed that way.

  13. christinaxxx
    • 2 years ago
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    .....

  14. satellite73
    • 2 years ago
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    the square root of ten to the power of eight is the same as ten to the power of four

  15. satellite73
    • 2 years ago
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    \(\sqrt{10}^8=10^4=10000\)

  16. satellite73
    • 2 years ago
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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

  17. satellite73
    • 2 years ago
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    \[\sqrt[3]{10}^8=10^2\sqrt[3]{10^2}=100\sqrt[3]{100}\]

  18. satellite73
    • 2 years ago
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    multiply those together for your answer

  19. satellite73
    • 2 years ago
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    \[1000\times 100\times \sqrt[3]{100}=1,000,000\sqrt[3]{100}\]

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

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