# Its easier than you think.!

Algebra Level 5

Given that $$a,b$$ and $$c$$ are positive real numbers such that their sum is 18. And the maximum value of $$a^2 b^3 c^4$$ is of the form of $$w^x y^z$$ for positive integers $$w,x,y$$ and $$z$$ with $$w$$ and $$y$$ as prime numbers. What is the value of $$w+x+y+z$$?

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