Simplify the following: (i) (32)0 + 3-4 × 36 + (1/3)-2

(i) (3²)⁰ + 3^-4 × 3⁶ + (1/3)^-2

(ii) 9^5/2 – 3.(5)⁰ – (1/81)^-1/2

Solution:

(i) (3²)⁰ + 3^-4 × 3⁶ + (1/3)^-2

We can write it as

So we get

= 1 + 9 + 9

= 19

(ii) 9^5/2 – 3.(5)⁰ – (1/81)^-1/2

We can write it as

Here

= 243 – 3 – (9 × 1)/1

= 240 – 9

= 231

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