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Simplify and write the answer in the exponential form. (i) `(2^5 -: 2^8)^5 xx 2^(-5)` (ii) `(-4)^(-3) xx (5)^(-3) xx (-5)^(-3)` (iii) `1/8 xx (3)^(-3)` (iv) `(-3)64 xx (5/3)^4`

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Let's solve each part of the question step by step. ### Part (i): Simplify `(2^5 -: 2^8)^5 xx 2^(-5)` 1. **Apply the Division Rule of Exponents**: \[ \frac{2^5}{2^8} = 2^{5-8} = 2^{-3} \] ...
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