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godwin_ibrahim
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Tyro
Asked: 2020-11-25T13:03:47+00:00 In:

Find the value of \left ( -\dfrac{1}{8} \right )^{-\frac{2}{3}}

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Find the value of \left ( -\dfrac{1}{8} \right )^{-\frac{2}{3}}

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  2. Sengemegz
    Moderator

    \left ( -\dfrac{1}{8} \right )^{-\frac{2}{3}}
    applying the law of indices involving negative power
    \left ( -\dfrac{8}{1} \right )^{\frac{2}{3}}
    applying the law of indices involving fractional power
    \Rightarrow (\sqrt[3]{-8})^{2}
    \Rightarrow (-2)^{2}=4

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