How do I simplify?

#{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.

3 Answers
Apr 28, 2018

Explanation:

As written, the answer is 1.

Apr 28, 2018

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

Apr 28, 2018

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#