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 $= x^(-2+13) = x^11$

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