Question

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

Answer 1

yupp!

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

but what do I do from there?

Answer 9

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

Answer 10

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

Answer 11

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.

Answer 12

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

Answer 13

.....

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

multiply those together for your answer

Answer 19

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

Answer 20

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