Simplify 4^0*5^-2

$4^{0} \cdot 5^{- 2}$

Anything raised to $0$ is $1$ .

$1 \cdot 5^{- 2}$

Multiply $5^{- 2}$ by $1$ .

$5^{- 2}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

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:

$0.04$