Algebra Examples

Simplify: $\frac{5^{2}}{5^{23}}$

Step 1

Cancel the common factor of $5^{2}$ and $5^{23}$ .

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Step 1.1

Multiply by $1$ .

$\frac{5^{2} \cdot 1}{5^{23}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5^{2}$ out of $5^{23}$ .

$\frac{5^{2} \cdot 1}{5^{2} \cdot 5^{21}}$

Step 1.2.2

Cancel the common factor.

$\frac{5^{2} \cdot 1}{5^{2} \cdot 5^{21}}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{5^{21}}$

Step 2

Raise $5$ to the power of $21$ .

$\frac{1}{476837158203125}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{476837158203125}$

Decimal Form:

$2.097152 \cdot 10^{- 15}$