Finite Math Examples

$\frac{c^{6} {(- d)}^{7}}{c^{10} d^{5}}$

Step 1

Cancel the common factor of $c^{6}$ and $c^{10}$ .

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Step 1.1

Factor $c^{6}$ out of $c^{6} {(- d)}^{7}$ .

$\frac{c^{6} ({(- d)}^{7})}{c^{10} d^{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $c^{6}$ out of $c^{10} d^{5}$ .

$\frac{c^{6} ({(- d)}^{7})}{c^{6} (c^{4} d^{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{c^{6} {(- d)}^{7}}{c^{6} (c^{4} d^{5})}$

Step 1.2.3

Rewrite the expression.

$\frac{{(- d)}^{7}}{c^{4} d^{5}}$

$\frac{{(- d)}^{7}}{c^{4} d^{5}}$

$\frac{{(- d)}^{7}}{c^{4} d^{5}}$

Step 2

Cancel the common factor of ${(- d)}^{7}$ and $d^{5}$ .

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Step 2.1

Factor $- 1$ out of $- d$ .

$\frac{{(- (d))}^{7}}{c^{4} d^{5}}$

Step 2.2

Rewrite $- (d)$ as $- 1 (d)$ .

$\frac{{(- 1 (d))}^{7}}{c^{4} d^{5}}$

Step 2.3

Apply the product rule to $- 1 (d)$ .

$\frac{{(- 1)}^{7} d^{7}}{c^{4} d^{5}}$

Step 2.4

Raise $- 1$ to the power of $7$ .

$\frac{- 1 d^{7}}{c^{4} d^{5}}$

Step 2.5

Factor $d^{5}$ out of $- 1 d^{7}$ .

$\frac{d^{5} (- 1 d^{2})}{c^{4} d^{5}}$

Step 2.6

Cancel the common factors.

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Step 2.6.1

Factor $d^{5}$ out of $c^{4} d^{5}$ .

$\frac{d^{5} (- 1 d^{2})}{d^{5} c^{4}}$

Step 2.6.2

Cancel the common factor.

$\frac{d^{5} (- 1 d^{2})}{d^{5} c^{4}}$

Step 2.6.3

Rewrite the expression.

$\frac{- 1 d^{2}}{c^{4}}$

$\frac{- 1 d^{2}}{c^{4}}$

$\frac{- 1 d^{2}}{c^{4}}$

Step 3

Move the negative in front of the fraction.

$- \frac{d^{2}}{c^{4}}$

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