Answer:
c) 2⁻⁹
Step-by-step explanation:
1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]
1/2⁹
2) simplify ₂⁹ to 512
1/512 ( same as (8) ⁻3
c
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ , then
[tex](8)^{-3}[/tex]
= [tex](2^3)^{-3}[/tex]
= [tex]2^{3(-3)}[/tex]
= [tex]2^{-9}[/tex] → c
