Find the Exact Value (5^10)/(5^12)

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

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

Multiply by $1$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$\frac{1}{25}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{25}$

Decimal Form:

$0.04$