Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] and [tex]a^{0}[/tex] = 1
Substitute the values of x into [tex]4^{-x}[/tex]
x = 0 → [tex]4^{0}[/tex] = 1 ⇒ a = 1
x = 2 → [tex]4^{-2}[/tex] = [tex]\frac{1}{4^{2} }[/tex] = [tex]\frac{1}{16}[/tex], hence
b = [tex]\frac{1}{16}[/tex]
x = 4 → [tex]4^{-4}[/tex] = [tex]\frac{1}{4^{4} }[/tex] = [tex]\frac{1}{256}[/tex], hence
c = [tex]\frac{1}{256}[/tex]
