SOLUTION: if m-th root of m is 4-th root of 2 and n-th root of n is 9-th root of 3.find mn

Question 1139480: if m-th root of m is 4-th root of 2 and n-th root of n is 9-th root of 3.find mn
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

I doubt that an algebraic solution is possible, so use a calculator.

(1) To find the value of m, graph x^(1/x) and 2^(1/4) and find the x value of their point of intersection.

(2) To find the value of n, graph x^(1/x) and 3^(1/9) and find the x value of their point of intersection.

(3) To find the value of mn, multiply the two x values from (1) and (2).
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