Simplify (4x^4x^3)/(8x)

$\frac{4 x^{4} x^{3}}{8 x}$

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$\frac{4 (x^{3} x^{4})}{8 x}$

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

$\frac{4 x^{3 + 4}}{8 x}$

Add $3$ and $4$ .

$\frac{4 x^{7}}{8 x}$

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4 x^{7}$ .

$\frac{4 (x^{7})}{8 x}$

Cancel the common factors.

Factor $4$ out of $8 x$ .

$\frac{4 (x^{7})}{4 (2 x)}$

Cancel the common factor.

$\frac{4 x^{7}}{4 (2 x)}$

Rewrite the expression.

$\frac{x^{7}}{2 x}$

Cancel the common factor of $x^{7}$ and $x$ .

Factor $x$ out of $x^{7}$ .

$\frac{x \cdot x^{6}}{2 x}$

Cancel the common factors.

Factor $x$ out of $2 x$ .

$\frac{x \cdot x^{6}}{x \cdot 2}$

Cancel the common factor.

$\frac{x \cdot x^{6}}{x \cdot 2}$

Rewrite the expression.

$\frac{x^{6}}{2}$