Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $8$ and $4$ .

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 2.2.4

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

$x^{10}$