Finite Math Examples

$\frac{2 m^{6} p^{5}}{- 12 m^{2} n^{5} p^{4}}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Cancel the common factor of $2$ and $- 12$ .

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Step 1.1.1

Factor $2$ out of $2 m^{6} p^{5}$ .

$\frac{2 (m^{6} p^{5})}{- 12 m^{2} n^{5} p^{4}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $- 12 m^{2} n^{5} p^{4}$ .

$\frac{2 (m^{6} p^{5})}{2 (- 6 m^{2} n^{5} p^{4})}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 (m^{6} p^{5})}{2 (- 6 m^{2} n^{5} p^{4})}$

Step 1.1.2.3

Rewrite the expression.

$\frac{m^{6} p^{5}}{- 6 m^{2} n^{5} p^{4}}$

Step 1.2

Cancel the common factor of $m^{6}$ and $m^{2}$ .

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Step 1.2.1

Factor $m^{2}$ out of $m^{6} p^{5}$ .

$\frac{m^{2} (m^{4} p^{5})}{- 6 m^{2} n^{5} p^{4}}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $m^{2}$ out of $- 6 m^{2} n^{5} p^{4}$ .

$\frac{m^{2} (m^{4} p^{5})}{m^{2} (- 6 n^{5} p^{4})}$

Step 1.2.2.2

Cancel the common factor.

$\frac{m^{2} (m^{4} p^{5})}{m^{2} (- 6 n^{5} p^{4})}$

Step 1.2.2.3

Rewrite the expression.

$\frac{m^{4} p^{5}}{- 6 n^{5} p^{4}}$

Step 1.3

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

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Step 1.3.1

Factor $p^{4}$ out of $m^{4} p^{5}$ .

$\frac{p^{4} (m^{4} p)}{- 6 n^{5} p^{4}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $p^{4}$ out of $- 6 n^{5} p^{4}$ .

$\frac{p^{4} (m^{4} p)}{p^{4} (- 6 n^{5})}$

Step 1.3.2.2

Cancel the common factor.

$\frac{p^{4} (m^{4} p)}{p^{4} (- 6 n^{5})}$

Step 1.3.2.3

Rewrite the expression.

$\frac{m^{4} p}{- 6 n^{5}}$

Step 1.4

Move the negative in front of the fraction.

$- \frac{m^{4} p}{6 n^{5}}$

Step 2

The degree cannot be determined because $- \frac{m^{4} p}{6 n^{5}}$ is not a polynomial.

Not a polynomial