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

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

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

Multiply $x^{8}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{x^{8} \cdot x^{1}}{x^{4}}$

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

$\frac{x^{8 + 1}}{x^{4}}$

Add $8$ and $1$ .

$\frac{x^{9}}{x^{4}}$

Cancel the common factor of $x^{9}$ and $x^{4}$ .

Factor $x^{4}$ out of $x^{9}$ .

$\frac{x^{4} x^{5}}{x^{4}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{4} x^{5}}{x^{4} \cdot 1}$

Cancel the common factor.

$\frac{x^{4} x^{5}}{x^{4} \cdot 1}$

Rewrite the expression.

$\frac{x^{5}}{1}$

Divide $x^{5}$ by $1$ .

$x^{5}$