SOLUTION: Simplify: sqrt[49x^12y^4z^8]

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Question 146712: Simplify:
sqrt[49x^12y^4z^8]

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite 49 as 49%5E1


Now distribute the outer exponent 1%2F2 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29

Now multiply the exponents

Reduce

Now convert back to radical notation


Take the square root of 49 to get 7