3) simplify and express the result as a rational number.
i) ( -1/2)^5 x 2^4

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Solution

${(- \frac{1}{2})}^{5} \times 2^{4} = {(- 1)}^{5} \times \frac{2^{4}}{5^{5}} = - 1 \times 2^{4 - 5} = - 1 \times 2^{- 1} = - \frac{1}{2}$

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