Finite Math Examples

$\frac{(3 x^{2}) (4 x^{3})}{2 x^{4}}$

Step 1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 1.1

Move $x^{3}$ .

$\frac{3 (x^{3} x^{2}) \cdot 4}{2 x^{4}}$

Step 1.2

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

$\frac{3 x^{3 + 2} \cdot 4}{2 x^{4}}$

Step 1.3

Add $3$ and $2$ .

$\frac{3 x^{5} \cdot 4}{2 x^{4}}$

Step 2

Cancel the common factor of $x^{5}$ and $x^{4}$ .

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Step 2.1

Factor $x^{4}$ out of $3 x^{5} \cdot 4$ .

$\frac{x^{4} (3 x \cdot 4)}{2 x^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{4}$ out of $2 x^{4}$ .

$\frac{x^{4} (3 x \cdot 4)}{x^{4} \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{4} (3 x \cdot 4)}{x^{4} \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{3 x \cdot 4}{2}$

Step 3

Cancel the common factor of $4$ and $2$ .

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Step 3.1

Factor $2$ out of $3 x \cdot 4$ .

$\frac{2 (3 x \cdot 2)}{2}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $2$ .

$\frac{2 (3 x \cdot 2)}{2 (1)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (3 x \cdot 2)}{2 \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{3 x \cdot 2}{1}$

Step 3.2.4

Divide $3 x \cdot 2$ by $1$ .

$3 x \cdot 2$

Step 4

Multiply $2$ by $3$ .

$6 x$