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How would i evalute this?

simplyfying expressions with rational exponents. 6 square root (3^3)^4*(3^2)^4. the answer is 81. any ideas on how to do that?

2 answers

You must mean
[(3^3)^4*(3^2)^4]^(1/6)
which meants the sixth root of what is in brackets. You can rewrite it as
[3^12*3^8]^(1/6)
= 3^(20/6)= 3^(10/3) = 38.9
I don't agree with your book's answer.

Tf it was the 1/6 root of [(3^3)^4*(3^3)^4] THAT would be 3^4 = 81. .
Agree exactly with drwls, just spent about ten minutes reverse engineering it to try to figure out what the problem statement was.
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