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

Mar 2, 2018

${x}^{11}$

#### Explanation:

Expression = ${x}^{13} / {x}^{2}$

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

(i) $\frac{1}{a} ^ n = {a}^{-} n$

(ii) ${a}^{n} \times {a}^{m} = {a}^{n + m}$

We can rewrite the expression as:

Expression $= \frac{1}{x} ^ 2 \times {x}^{13}$

Apply (i)

Expression $= {x}^{-} 2 \times {x}^{13}$

Apply (ii)

Expression $= {x}^{- 2 + 13} = {x}^{11}$