Simplify the following:(i) (3×2)-3 × (x9)2/3

(i) (3x²)^-3 × (x⁹)^2/3

(ii) (8x⁴)^1/3 ÷ x^1/3.

Solution:

(i) (3x²)^-3 × (x⁹)^2/3

We can write it as

(ii) (8x⁴)^1/3 ÷ x^1/3

We can write it as

= 2 × x^3/3

So we get

= 2 × x¹

= 2 × x

= 2x

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