Question

Find the value of x^–3 if x = (100)^{1 – 4} ÷ (100)⁰.

Answer 1

Given, x = (100)^{1 – 4} ÷ (100)⁰

⇒ x = (100)^–3 ÷ (100)⁰

⇒ x = (100)^{–3 – 0}  ...[∵ a^m ÷ aⁿ = (a)^{m – n}]

⇒ x = (100)^–3

So, x^–3 = [(100)^–3]^–3 = (100)⁹  ...[∵ (a^m)ⁿ = (a)^mn]