Question

Express 4^{– 3} as a power with the base 2.

Answer 1

We have, 4 = 2 × 2 = 2²

Therefore, (4)^{– 3} = (2 × 2) ^{– 3} = (2²)^{– 3}= 2^{2 × (– 3)}= 2^{– 6}     ........[(a^m)ⁿ = a^mn]