Question

Simplify -1/64........

Answer 1

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: $\frac{-1}{64}$

= $\frac{-1}{4^3}$

= $\frac{-1}{(2^2)^3}$

= $\frac{-1}{2^6} \hspace{10mm}$               [using (i)]

= $2^{-6}$              [using (ii)]

Hence, the simplified form would be: $2^{-6}$