SOLUTION: I am trying to help my son with his algebra 2 and I don't understand these problems! (2^sqrt2)^sqrt2 Thank you

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I am trying to help my son with his algebra 2 and I don't understand these problems! (2^sqrt2)^sqrt2 Thank you      Log On


   

Question 602502: I am trying to help my son with his algebra 2 and I don't understand these problems!

(2^sqrt2)^sqrt2


Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%282%5Esqrt%282%29%29%5Esqrt%282%29+=+2%5E2+=+4+



Note:  rules governing exponents

a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29 ***

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29