How to simply this?

(5^(2m+2) - 125 (25)^(m-2)) / 5^(2m+1)

1 Answer
Alan P.
Oct 25, 2017

Assuming that I didn't mess-up the arithmetic: #4 24/25#

Explanation:

#(5^(2m+2)-125(25)^(m-2))/(5^(2m+1))#

#color(white)("XXX")=(5^(2m+2))/(5^(2m+1))-(125(25)^(m-2))/(5^(2m+1))#

#color(white)("XXX")=5 -125 * (5^(2m-4))/(5^(2m+1))#

#color(white)("XXX")=5-5^3 * (5^(-5))#

#color(white)("XXX")=5-5^(-2)#

#color(white)("XXX")=5-1/25#

#color(white)("XXX")=4 24/25#

Related questions
Impact of this question
500 views around the world
You can reuse this answer
Creative Commons License