Simplify (x^8x^4)/(x^2)

$\frac{x^{8} x^{4}}{x^{2}}$

Step 1

Multiply $x^{8}$ by $x^{4}$ by adding the exponents.

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

$\frac{x^{8 + 4}}{x^{2}}$

Add $8$ and $4$ .

$\frac{x^{12}}{x^{2}}$

Step 2

Cancel the common factor of $x^{12}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{12}$ .

$\frac{x^{2} x^{10}}{x^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{2} x^{10}}{x^{2} \cdot 1}$

Cancel the common factor.

$\frac{x^{2} x^{10}}{x^{2} \cdot 1}$

Rewrite the expression.

$\frac{x^{10}}{1}$

Divide $x^{10}$ by $1$ .

$x^{10}$