How do you simplify # x/x^3#?

1 Answer
Jul 9, 2015

Answer:

#1/x^2#

Explanation:

There is a rule when it comes to dividing exponents that have the same base; here, we have the common base of #x#.

The rule is:

#x^a/x^b#=#x^(a-b)#

The question is to simplify

#x/x^3#
Note that this can be rewritten as #x^1/x^3#

Using the rule,

#x^1/x^3=x^(1-3)=x^-2=1/x^2#

(since #x^-a=1/x^a#)

Equivalently, you can divide the numerator and the denominator by #x#.