Pre-Algebra Examples

$\frac{5^{12} \cdot 7}{5^{2} \cdot 7^{2}}$

Step 1

Cancel the common factor of $5^{12}$ and $5^{2}$ .

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Step 1.1

Factor $5^{2}$ out of $5^{12} \cdot 7$ .

$\frac{5^{2} (5^{10} \cdot 7)}{5^{2} \cdot 7^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5^{2}$ out of $5^{2} \cdot 7^{2}$ .

$\frac{5^{2} (5^{10} \cdot 7)}{5^{2} (7^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{5^{2} (5^{10} \cdot 7)}{5^{2} \cdot 7^{2}}$

Step 1.2.3

Rewrite the expression.

$\frac{5^{10} \cdot 7}{7^{2}}$

Step 2

Cancel the common factor of $7$ and $7^{2}$ .

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Step 2.1

Factor $7$ out of $5^{10} \cdot 7$ .

$\frac{7 \cdot 5^{10}}{7^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $7^{2}$ .

$\frac{7 \cdot 5^{10}}{7 \cdot 7}$

Step 2.2.2

Cancel the common factor.

$\frac{7 \cdot 5^{10}}{7 \cdot 7}$

Step 2.2.3

Rewrite the expression.

$\frac{5^{10}}{7}$

Step 3

Raise $5$ to the power of $10$ .

$\frac{9765625}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9765625}{7}$

Decimal Form:

$1395089.28571429$

Mixed Number Form:

$1395089 \frac{2}{7}$