Simplify ((2^2)^-1)/(2^2)

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

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

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

Multiply $2^{2}$ by $2^{2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $2$ and $2$ .

$\frac{1}{2^{4}}$

Raise $2$ to the power of $4$ .

$\frac{1}{16}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$