Finite Math Examples

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

Step 1

Multiply $x^{4}$ by $x^{3}$ 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.

$\frac{x^{4 + 3}}{x^{5}}$

Step 1.2

Add $4$ and $3$ .

$\frac{x^{7}}{x^{5}}$

Step 2

Cancel the common factor of $x^{7}$ and $x^{5}$ .

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Step 2.1

Factor $x^{5}$ out of $x^{7}$ .

$\frac{x^{5} x^{2}}{x^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{x^{5} x^{2}}{x^{5} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{5} x^{2}}{x^{5} \cdot 1}$

Step 2.2.3

Rewrite the expression.

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

Step 2.2.4

Divide $x^{2}$ by $1$ .

$x^{2}$