Algebra Examples

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

Step 1

Multiply $x^{6}$ by $x^{8}$ 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.

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

Step 1.2

Add $6$ and $8$ .

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

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

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

Step 2.2.3

Cancel the common factor.

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

Step 2.2.4

Rewrite the expression.

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

Step 2.2.5

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

$x^{13}$