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yupp!

The answer I got was 10,000xsqrt100000000....

http://www.wolframalpha.com/input/?i=(sqrt10xthirdroot10)%5E8&t=crmtb01

how did you get the 1,000,000...

could anyone explain to me how to get the answer..

mhmmm, so it be (10^1/2x10^1/3)^8

but what do I do from there?

You go back to first class of algebra\[a ^{m}a ^{n}=a ^{m+n}\]\[(a ^{m})^{n}=a ^{mn}\]

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

I mean he wouldn't expect it expressed that way.

.....

the square root of ten to the power of eight is the same as ten to the power of four

\(\sqrt{10}^8=10^4=10000\)

\[\sqrt[3]{10}^8=10^2\sqrt[3]{10^2}=100\sqrt[3]{100}\]

multiply those together for your answer

\[1000\times 100\times \sqrt[3]{100}=1,000,000\sqrt[3]{100}\]

Good, now you have two different methods. Last one is a little typo, 1000 should be 10000