# Power = Weak?

Algebra Level 4

$\left(\dfrac{a}{b}+\dfrac{b}{a}+\dfrac{b}{c}+\dfrac{c}{b}+\dfrac{a}{c}+\dfrac{c}{a}+3\right)\left(3^{(a^2+b^2+c^2)}\right)^{(a^3+b^3+c^3)}$

For the above expression, let $a,b,c$ be the roots of the equation $x^3-6x^2+18x-36=0$. What is the value of the said expression above?

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