Finite Math Examples

$\frac{\frac{p^{4}}{r}}{\frac{p^{2}}{r^{2}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{p^{4}}{r} \cdot \frac{r^{2}}{p^{2}}$

Step 2

Combine.

$\frac{p^{4} r^{2}}{r p^{2}}$

Step 3

Cancel the common factor of $p^{4}$ and $p^{2}$ .

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Step 3.1

Factor $p^{2}$ out of $p^{4} r^{2}$ .

$\frac{p^{2} (p^{2} r^{2})}{r p^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $p^{2}$ out of $r p^{2}$ .

$\frac{p^{2} (p^{2} r^{2})}{p^{2} r}$

Step 3.2.2

Cancel the common factor.

$\frac{p^{2} (p^{2} r^{2})}{p^{2} r}$

Step 3.2.3

Rewrite the expression.

$\frac{p^{2} r^{2}}{r}$

$\frac{p^{2} r^{2}}{r}$

$\frac{p^{2} r^{2}}{r}$

Step 4

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

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Step 4.1

Factor $r$ out of $p^{2} r^{2}$ .

$\frac{r (p^{2} r)}{r}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{r (p^{2} r)}{r^{1}}$

Step 4.2.2

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

$\frac{r (p^{2} r)}{r \cdot 1}$

Step 4.2.3

Cancel the common factor.

$\frac{r (p^{2} r)}{r \cdot 1}$

Step 4.2.4

Rewrite the expression.

$\frac{p^{2} r}{1}$

Step 4.2.5

Divide $p^{2} r$ by $1$ .

$p^{2} r$

$p^{2} r$

$p^{2} r$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$