Question

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

Answer 1

- 2⁻⁶

Explanation:

To simplify this we have to know the following rules.

(i) (xᵃ)ᵇ = xᵃᵇ

(ii) 1/xᵃ = x⁻ᵃ

Given:
`$ (-1)/(64) $`

=
`$ (-1)/(4^3) $`

=
`$ (-1)/((2^2)^3) $`

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

=
`$ 2^(-6) $` [using (ii)]

Hence, the simplified form would be:
`$ 2^(-6) $`