Question #81fe9

1 Answer
Dec 30, 2016

(see below)

Explanation:

Consider the relationship between decreasing powers of any number.

If we let n be such a number then we see that (for example):
color(white)("XXX")n^4 = n^5 div n

color(white)("XXX")n^3 = n^4 div n

color(white)("XXX")n^2 = n^3 div n

color(white)("XXX")n^1 = n^2 div n

if we continue...
color(white)("XXX")n^0 = n^1 div n (n.b. this is just ndivn=1)
and
color(white)("XXX")n^(-1) = n^0 div n (that is 1divn = 1/n; the reciprocal of n)