SOLUTION: Find the indicated root 121m8n4

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Question 119124: Find the indicated root
121m8n4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28121m%5E8n%5E4%29 Start with the given expression.

%28%28121%29%5E1m%5E8n%5E4%29%5E%281%2F2%29 Rewrite the square root in exponent notation. Note: 121 really looks like 121%5E1


%28121%29%5E%281%2A%281%2F2%29%29m%5E%288%2A%281%2F2%29%29n%5E%284%2A%281%2F2%29%29 Now distribute the outer exponent 1%2F2 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29


%28121%29%5E%281%2F2%29m%5E%288%2F2%29n%5E%284%2F2%29 Now multiply the exponents


%28121%29%5E%281%2F2%29m%5E4n%5E2 Reduce



sqrt%28121%29m%5E4n%5E2 Now rewrite %28121%29%5E%281%2F2%29 as sqrt%28121%29



11m%5E4n%5E2 Take the square root of 121 to get 11




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Answer:

So sqrt%28121m%5E8n%5E4%29 simplifies to 11m%5E4n%5E2.

In other words, sqrt%28121m%5E8n%5E4%29=11m%5E4n%5E2.