Answered

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5 exponent -2 over 3

Sagot :

Given:

[tex]5^{-\frac{2}{3}}[/tex]

On simplification we get,

[tex]\begin{gathered} 5^{-\frac{2}{3}}=\frac{1}{5^{\frac{2}{3}}} \\ =\frac{1}{(5^2)^{\frac{1}{3}}} \\ =\frac{1}{25^{\frac{1}{3}}} \\ =\frac{1}{\sqrt[3]{25}} \end{gathered}[/tex]

Hence, the answer is,

[tex]\frac{1}{\sqrt[3]{25}}[/tex]

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