Simplify (-36^04)^-2

${(- 3 \cdot 6^{0} \cdot 4)}^{- 2}$

Anything raised to $0$ is $1$ .

${(- 3 \cdot 1 \cdot 4)}^{- 2}$

Multiply $- 3$ by $1$ .

${(- 3 \cdot 4)}^{- 2}$

Multiply $- 3$ by $4$ .

${(- 12)}^{- 2}$

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

$\frac{1}{{(- 12)}^{2}}$

Raise $- 12$ to the power of $2$ .

$\frac{1}{144}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{144}$

Decimal Form:

$0.0069\overline{4}$

Simplify (-3*6^0*4)^-2