Finite Math Examples

$\frac{{(- 5)}^{4} {(- 3)}^{9}}{{(- 5)}^{6} {(- 3)}^{7}}$

Step 1

Cancel the common factor of ${(- 5)}^{4}$ and ${(- 5)}^{6}$ .

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Step 1.1

Factor ${(- 5)}^{4}$ out of ${(- 5)}^{4} {(- 3)}^{9}$ .

$\frac{{(- 5)}^{4} ({(- 3)}^{9})}{{(- 5)}^{6} {(- 3)}^{7}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor ${(- 5)}^{4}$ out of ${(- 5)}^{6} {(- 3)}^{7}$ .

$\frac{{(- 5)}^{4} ({(- 3)}^{9})}{{(- 5)}^{4} ({(- 5)}^{2} {(- 3)}^{7})}$

Step 1.2.2

Cancel the common factor.

$\frac{{(- 5)}^{4} {(- 3)}^{9}}{{(- 5)}^{4} ({(- 5)}^{2} {(- 3)}^{7})}$

Step 1.2.3

Rewrite the expression.

$\frac{{(- 3)}^{9}}{{(- 5)}^{2} {(- 3)}^{7}}$

Step 2

Cancel the common factor of ${(- 3)}^{9}$ and ${(- 3)}^{7}$ .

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Step 2.1

Factor ${(- 3)}^{7}$ out of ${(- 3)}^{9}$ .

$\frac{{(- 3)}^{7} {(- 3)}^{2}}{{(- 5)}^{2} {(- 3)}^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor ${(- 3)}^{7}$ out of ${(- 5)}^{2} {(- 3)}^{7}$ .

$\frac{{(- 3)}^{7} {(- 3)}^{2}}{{(- 3)}^{7} {(- 5)}^{2}}$

Step 2.2.2

Cancel the common factor.

$\frac{{(- 3)}^{7} {(- 3)}^{2}}{{(- 3)}^{7} {(- 5)}^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{{(- 3)}^{2}}{{(- 5)}^{2}}$

Step 3

Evaluate the exponents.

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Step 3.1

Raise $- 3$ to the power of $2$ .

$\frac{9}{{(- 5)}^{2}}$

Step 3.2

Raise $- 5$ to the power of $2$ .

$\frac{9}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{25}$

Decimal Form:

$0.36$