Evaluate (x^5*x^3)/(x^4)

$\frac{x^{5} \cdot x^{3}}{x^{4}}$

Multiply $x^{5}$ by $x^{3}$ by adding the exponents.

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

$\frac{x^{5 + 3}}{x^{4}}$

Add $5$ and $3$ .

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

Cancel the common factor of $x^{8}$ and $x^{4}$ .

Factor $x^{4}$ out of $x^{8}$ .

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $x^{4}$ by $1$ .

$x^{4}$