Question #81fe9

1 Answer
Alan P.
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#)

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