anonymous
  • anonymous
okay, so what is the answer to (sqrt10xthirdroot10)^8 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
yupp!
anonymous
  • anonymous
The answer I got was 10,000xsqrt100000000....
Kainui
  • Kainui
http://www.wolframalpha.com/input/?i=(sqrt10xthirdroot10)%5E8&t=crmtb01

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More answers

anonymous
  • anonymous
how did you get the 1,000,000...
anonymous
  • anonymous
could anyone explain to me how to get the answer..
anonymous
  • anonymous
Sometimes you might find it easier to work with exponents. Here are the rules\[\sqrt{x}=x ^{^{\frac{ 1 }{ 2 }}}\]
anonymous
  • anonymous
mhmmm, so it be (10^1/2x10^1/3)^8
anonymous
  • anonymous
but what do I do from there?
anonymous
  • anonymous
You go back to first class of algebra\[a ^{m}a ^{n}=a ^{m+n}\]\[(a ^{m})^{n}=a ^{mn}\]
anonymous
  • anonymous
okay I got 10^20/3......where do I get 1,000,000x10^2/3 from that ?
anonymous
  • anonymous
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.
anonymous
  • anonymous
I mean he wouldn't expect it expressed that way.
anonymous
  • anonymous
.....
anonymous
  • anonymous
the square root of ten to the power of eight is the same as ten to the power of four
anonymous
  • anonymous
\(\sqrt{10}^8=10^4=10000\)
anonymous
  • anonymous
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
anonymous
  • anonymous
\[\sqrt[3]{10}^8=10^2\sqrt[3]{10^2}=100\sqrt[3]{100}\]
anonymous
  • anonymous
multiply those together for your answer
anonymous
  • anonymous
\[1000\times 100\times \sqrt[3]{100}=1,000,000\sqrt[3]{100}\]
anonymous
  • anonymous
Good, now you have two different methods. Last one is a little typo, 1000 should be 10000

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