Precalculus Examples

$\frac{5^{- 2}}{2^{0}}$

Step 1

Move $5^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{2^{0} \cdot 5^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Anything raised to $0$ is $1$ .

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

Step 2.2

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

$\frac{1}{1 \cdot 25}$

Step 2.3

Multiply $25$ by $1$ .

$\frac{1}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{25}$

Decimal Form:

$0.04$