Finite Math Examples

$2 x (\frac{x}{2} \cdot (x))$

Step 1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.1

Move $x$ .

$2 (x \cdot x) \frac{x}{2}$

Step 1.2

Multiply $x$ by $x$ .

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$x^{2} x$

Step 3

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.1

Multiply $x^{2}$ by $x$ .

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Step 3.1.1

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

$x^{2} x^{1}$

Step 3.1.2

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

$x^{2 + 1}$

Step 3.2

Add $2$ and $1$ .

$x^{3}$