Power = Weak?

Algebra Level 5

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

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?

×

Problem Loading...

Note Loading...

Set Loading...