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Express each of the following as a ratio...

Express each of the following as a rational number of the form `p/q :` (i)`5^(-3)` (ii) `(-2)^(-5)` (iii) `(4/3)^(-3)` (iv)`((-2)/5)^(-4)` (v) `1/(2^(-3))`

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To express each of the given expressions as a rational number of the form \( \frac{p}{q} \), we will use the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \) or \( \frac{b}{a^{-n}} = \frac{a^n}{b} \). Let's solve each part step by step: ### (i) \( 5^{-3} \) 1. **Apply the negative exponent rule**: \[ ...
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