How do you simplify #(x^(2n) xx x^(3n-1)) / x^(n+2) # leaving only positive exponents?

Question

9182 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-13T18:41:54

# x^(4n-3)#

Consider just the exponents:

Write as: #2n+(3n-1)-(n+2)#

#2n+3n-1-n-2#

#4n-3#

So we have: # x^(4n-3)#

This is positive for #n>3/4#

As #n# is a counting number it is not likely to have #n<1 #