Evaluate (5^2)/(5^5)

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

Step 1

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

Multiply by $1$ .

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

Cancel the common factors.

Factor $5^{2}$ out of $5^{5}$ .

$\frac{5^{2} \cdot 1}{5^{2} \cdot 5^{3}}$

Cancel the common factor.

$\frac{5^{2} \cdot 1}{5^{2} \cdot 5^{3}}$

Rewrite the expression.

$\frac{1}{5^{3}}$

$\frac{1}{5^{3}}$

$\frac{1}{5^{3}}$

Step 2

Raise $5$ to the power of $3$ .

$\frac{1}{125}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{125}$

Decimal Form:

$0.008$

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