# How do you simplify x^6/ x^2?

Apr 14, 2017

${x}^{4}$

#### Explanation:

Let's write the equation in this form $\frac{{x}^{4} \cdot {x}^{2}}{{x}^{2}}$

Now numerator's $\left({x}^{2}\right)$ will cancel the one in the denominator:
$\frac{{x}^{4} \setminus \cdot \setminus \cancel{{x}^{2}}}{\setminus \cancel{{x}^{2}}} = {x}^{4}$

Yielding ${x}^{4}$.

Apr 14, 2017

${x}^{4}$
${x}^{a} / {x}^{b} = {x}^{a - b}$
here you have $a = 6$ and $b = 2$
$\setminus \therefore {x}^{6} / {x}^{2} \setminus \Rightarrow {x}^{6 - 2} = {x}^{4}$