How do I simplify?

Question

#{5^n+5^(n+1)}/{5^(n+1)+5^n #

Apparently the answer is -2/3 but i don't know how to do the working.

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Answer 1 · 2018-04-28T10:54:58

As written, the answer is 1.

Answer 2 · 2018-04-28T10:56:36

#(5^n+5^(n+1))/(5^(n+1)+5^n)=1#, so please check the Problem.

Answer 3 · 2018-04-28T11:05:37

i think the question is #(5^n-5^(n+1))/(5^(n+1)+5^n)#

recall that #a^(b+c)=a^(b)*a^c#

therefore,#(5^n-5^(n+1))/(5^(n+1)+5^n)=(5^n-5*5^n)/(5*5^n+5^n)#
factorise the equation will give you #(5^n(1-5))/(5^n(5+1)#

and solve it will get
#-2/3#