SOLUTION: If a^a√a = (a√a)^a, then the value of a = ___ .

SOLUTION: If a^a√a = (a√a)^a, then the value of a = ___ .

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Question 1139706: If a^a√a = (a√a)^a, then the value of a = ___ .
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
If a^a√a = (a√a)^a, then the value of a =
a^a^3/2=(a^3/2)^a
a^a^3/2=a^3a/2 by index comparison
a^3/2=3a/2
a^3=9a^2/4
4a^3=9a^2 by taking a^2 common both side
4a=9
a=9/4
answer a=9/4
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