Find the Exact Value 4^-4

$4^{- 4}$

Step 1

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

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

Step 2

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

$\frac{1}{256}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{256}$

Decimal Form:

$0.00390625$