Answer:
[tex]\frac{1}{4^{-4}} = 256[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4^{-4}}[/tex]
Required
Write without the exponent
[tex]\frac{1}{4^{-4}}[/tex]
Apply the following law of indices
[tex]\frac{1}{a^m} = a^{-m}[/tex]
So, we have:
[tex]\frac{1}{4^{-4}} = 4^{-(-4)}[/tex]
Evaluate the bracket
[tex]\frac{1}{4^{-4}} = 4^4[/tex]
[tex]\frac{1}{4^{-4}} = 256[/tex]
