How to combine like binomials with different exponents?

For example, in this problem:
((1/3)(3x-7)^((1/2)))+(2/9)(3x-7)^(-(3/2))

Or just for something simpler like 5(x+1)^(1/5)+(x+1)^(-5)

Question

How to combine like binomials with different exponents?

For example, in this problem: 
((1/3)(3x-7)^((1/2)))+(2/9)(3x-7)^(-(3/2))

Or just for something simpler like 5(x+1)^(1/5)+(x+1)^(-5)

anonymous · Answer

I ll give solution for simpler one :D, remove x+1 power 1/5 out, Now you need to know the powr of the other term so subtract -5-1/5

amistre64 · Answer

you can try to manipulate it into common exponents ...

anonymous · Answer

hey i need help will u help?

anonymous · Answer

I need to factor these*

anonymous · Answer

amis?

anonymous · Answer

I'm sorry Mashy, could you word that a little better?