Simplify (x^-8*x^8)/(x^4)

$\frac{x^{- 8} \cdot x^{8}}{x^{4}}$

Multiply $x^{- 8}$ by $x^{8}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{- 8 + 8}}{x^{4}}$

Add $- 8$ and $8$ .

$\frac{x^{0}}{x^{4}}$

Simplify $x^{0}$ .

$\frac{1}{x^{4}}$