Question

Express each of the following as a rational number:
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Answer 1

Answer:

$1) \: {5}^{ - 3} = \frac{1}{125}$

$2) \: ( - 2)^{ - 5} = \frac{1}{( - 2) ^{5} } = \frac{1}{ (- 32)}$

$3)( - 3)^{ - 1} \times (\frac{1}{3} ) ^{ - 1} = \frac{1}{ - 3} \times 3= - 1$

$4)( \frac{5}{7} )^{ - 1} \times ( \frac{7}{4}) ^{ - 1} = \frac{7}{5} \times \frac{4}{7} = \frac{4}{5}$

$5)( \frac{3}{2}) ^{ - 1} \div ( \frac{ - 2}{5})^{ - 1} = \frac{2}{3} \times \frac{ - 2}{5} = \frac{ - 4}{15}$

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