# How do you simplify the expression x^8/x^4 using the properties?

${x}^{8} / {x}^{4} = {x}^{8 - 4} = {x}^{4}$. See below for more ways to get to this answer.

#### Explanation:

We can do this a few ways:

• Use ${x}^{a} / {x}^{b} = {x}^{a - b}$

We can take ${x}^{8} / {x}^{4} = {x}^{8 - 4} = {x}^{4}$

• Use ${\left({x}^{a}\right)}^{b} = {x}^{a b}$

We can rewrite the numerator:

${x}^{8} / {x}^{4} = \frac{{x}^{4 \times 2}}{x} ^ 4 = {\left({x}^{4}\right)}^{2} / {x}^{4} = \frac{{x}^{4} {x}^{4}}{x} ^ 4 = {x}^{4}$

• Use ${x}^{a} \times {x}^{b} = {x}^{a + b}$

We can rewrite the numerator in a different way:

${x}^{8} / {x}^{4} = \frac{{x}^{4 + 4}}{x} ^ 4 = \frac{{x}^{4} {x}^{4}}{x} ^ 4 = {x}^{4}$