SOLUTION: hi i need help with two problems for Algebra 2 Honors. I can't solve ^(-1/6) * 7^(-2/3)

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Question 844720: hi i need help with two problems for Algebra 2 Honors.
I can't solve ^(-1/6) * 7^(-2/3)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

IF...

 7^(-1/6) * 7^(-2/3) = 7^(-5/6)   |Adding 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****

root%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29

%28xy%29%5En+=+x%5En%2Ay%5En

x%5E%281%2Fn%29+=+root%28n%2Cx%29   ,

x%5E%28m%2Fn%29+=+%28root%28n%2Cx%29%29%5Em