Evaluate (x^6*x^8)/x

$\frac{x^{6} \cdot x^{8}}{x}$

Multiply $x^{6}$ by $x^{8}$ by adding the exponents.

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

$\frac{x^{6 + 8}}{x}$

Add $6$ and $8$ .

$\frac{x^{14}}{x}$

Cancel the common factor of $x^{14}$ and $x$ .

Factor $x$ out of $x^{14}$ .

$\frac{x \cdot x^{13}}{x}$

Cancel the common factors.

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

$\frac{x \cdot x^{13}}{x^{1}}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot x^{13}}{x \cdot 1}$

Cancel the common factor.

$\frac{x \cdot x^{13}}{x \cdot 1}$

Rewrite the expression.

$\frac{x^{13}}{1}$

Divide $x^{13}$ by $1$ .

$x^{13}$