Algebra Examples

$\frac{5^{10}}{5^{12}}$

Step 1

Cancel the common factor of $5^{10}$ and $5^{12}$ .

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Step 1.1

Multiply by $1$ .

$\frac{5^{10} \cdot 1}{5^{12}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5^{10}$ out of $5^{12}$ .

$\frac{5^{10} \cdot 1}{5^{10} \cdot 5^{2}}$

Step 1.2.2

Cancel the common factor.

$\frac{5^{10} \cdot 1}{5^{10} \cdot 5^{2}}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{5^{2}}$

Step 2

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

$\frac{1}{25}$