Simplify the following: (i) 163/4 + 2 (1/2)-1 (3)0

(i) 16^3/4 + 2 (1/2)^-1 (3)⁰

(ii) (81)^3/4 – (1/32)^-2/5 + (8)^1/3 (1/2)^-1 (2)⁰.

Solution:

(i) 16^3/4 + 2 (1/2)^-1 (3)⁰

We can write it as

So we get

= (2)³ + 4

= 2 × 2 × 2 + 4

= 8 + 4

= 12

(ii) (81)^3/4 – (1/32)^-2/5 + (8)^1/3 (1/2)^-1 (2)⁰

We can write it as

= 27 – 4 + 4

= 27

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