Simplify ((2^-4)/(2^-4))^-4

${(\frac{2^{- 4}}{2^{- 4}})}^{- 4}$

Cancel the common factor of $2^{- 4}$ .

Cancel the common factor.

${(\frac{2^{- 4}}{2^{- 4}})}^{- 4}$

Rewrite the expression.

$1^{- 4}$

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

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

One to any power is one.

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$