Answer:
- 2⁻⁶
Step-by-step explanation:
To simplify this we have to know the following rules.
(i) (xᵃ)ᵇ = xᵃᵇ
(ii) 1/xᵃ = x⁻ᵃ
Given: [tex]$ \frac{-1}{64} $[/tex]
= [tex]$ \frac{-1}{4^3} $[/tex]
= [tex]$ \frac{-1}{(2^2)^3} $[/tex]
= [tex]$ \frac{-1}{2^6} \hspace{10mm} $[/tex] [using (i)]
= [tex]$ 2^{-6} $[/tex] [using (ii)]
Hence, the simplified form would be: [tex]$ 2^{-6} $[/tex]
