How do you simplify #x^13/x^2#?

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Answer 1 · 2018-03-02T02:40:03

#x^11#

Expression = #x^13/x^2#

Here we will use two of the laws of exponents as follows:

(i) #1/a^n = a^-n#

(ii) #a^n xx a^m = a^(n+m)#

We can rewrite the expression as:

Expression #= 1/x^2 xx x^13#

Apply (i)

Expression #= x^-2 xx x^13#

Apply (ii)

Expression #= x^(-2+13) = x^11#