Question

Simplify and write the answer in the exponential form.

(– 4)^{– 3} × (5)^{– 3} × (–5)^{– 3}

Answer 1

(– 4)^{– 3} × (5)^{– 3} × (– 5)^–3

= [(– 4) × 5 × (– 5)]^{– 3}

= (100)^{- 3}

= `1/100^3`            ......[using the law a^m × b^m = (ab)^m, a^{- m} = `1/a^m`]