book Maths Puzzle Numerical Ability

x whole to the power x under root x = x under root x whole to the power x
Find x

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book Other Question

What is the next number in this sequence and how do you get it?
1,2,5,10,4,8,20,40,?

Thank You
I DONT GET THE INVERSE WITH EXPONENTS WITH THEM LIKE FOR EXAMPLE:
f(x)=2x^3 or f(x)=x^2-2x