Question

Evaluate: `(2^2)^0 + 2^-4 div 2^-6 + (1/2)^-3`

Answer 1

`(2^2)^0 + 2^-4 div 2^-6 + (1/2)^-3`

`= (4)^0 + (1/2)^4 div (1/2)^6 + (2/1)^3`  (∵ a⁰ = 1)

`= 1 + (1/2 xx 1/2 xx 1/2 xx 1/2) div (1/2 xx 1/2 xx 1/2 xx 1/2 xx 1/2 xx 1/2) + (2/1 xx 2/1 xx 2/1)`

`= 1+ (1/2 xx 1/2 xx 1/2 xx 1/2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2) + 8`

= 1 + 4 + 8 = 13