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Laws of Exponents for Real Numbers

Express each ...

Question

Express each of the following exponential expressions as a rational number. ${(\frac{2}{5})}^{(- 3)}$

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Solution

${(\frac{2}{5})}^{- 3} = {(\frac{5}{2})}^{3} = \frac{5^{3}}{2^{3}} = \frac{125}{8}$ .

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