SOLUTION: (36b)^1/2(2b^1/4) equals nb^r where n the coefficient is: and r the exponent of b is:

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Question 181818: (36b)^1/2(2b^1/4)
equals nb^r where
n the coefficient is:
and r the exponent of b is:

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: x%5E%281%2F2%29=sqrt%28x%29

So 36%5E%281%2F2%29=sqrt%2836%29=6


This means that

%2836b%29%5E%281%2F2%29=sqrt%2836%29%2Ab%5E%281%2F2%29=6b%5E%281%2F2%29


So %2836b%29%5E%281%2F2%29%2A%282b%5E%281%2F4%29%29=6b%5E%281%2F2%29%2A2b%5E%281%2F4%29


Now add the exponents and multiply: 6%2A2b%5E%281%2F2%2B1%2F4%29=12b%5E%283%2F4%29


So %2836b%29%5E%281%2F2%29%2A%282b%5E%281%2F4%29%29=12b%5E%283%2F4%29 where b%3E=0