SOLUTION: rewrite with rational exponents (^5√2x^6y)^7

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Question 254529: rewrite with rational exponents (^5√2x^6y)^7
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28root%285%2C+2x%5E6y%29%29%5E7
Radicals can we rewritten using fractional exponents. 5th roots, like this one, can be replaced with an exponent of 1/5:
%28%282x%5E6y%29%5E%281%2F5%29%29%5E7
Now we can use the rule for exponents, %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29:
%282x%5E6y%29%5E%287%2F5%29
Raising each factor to the 7/5 power:

2%5E%287%2F5%29x%5E%2842%2F5%29y%5E%287%2F5%29
If you can't read the exponents, they are:
7/5, 42/5, and 7/5