Simplify: (3^2 + 2^2) × (1/2)^3

Question

Simplify:

(i) (32 + 22) × (1/2)3

(ii) (32 – 22) × (2/3)-3

(iii) ((1/3)-3 – (1/2)-3) ÷ (1/4)-3

Answer 1

(i) (32 + 22) × (1/2)3

= (9 + 4) × 1/8

= 13/8

(ii) (32 – 22) × (2/3)-3

= (9-4) × (3/2)3

= 5 × (27/8)

= 135/8

(iii) ((1/3)-3 – (1/2)-3) ÷ (1/4)-3

= (33 – 23) ÷ 43(1/a-n = an)

= (27-8) ÷ 64

= 19 × 1/64 (1/a ÷ 1/b = 1/a × b/1)

= 19/64