Math, asked by aleenaroy, 1 year ago

Find the value of(27)-2/3

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Answered by RaunakRaj
40
Hi,
(27)-2/3
=81/3-2/3
=79/3
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Answered by mysticd
59

Answer:

 Value \: of \: (27)^{\frac{-2}{3}}= \frac{1}{9}

Step-by-step explanation:

 Value \: of \: (27)^{\frac{-2}{3}}\\=\left(3^{3}\right)^{\frac{-2}{3}}\\=\left(3\right)^{3\times \frac{-2}{3}}

Since, \boxed {(a^{m})^n= a^{mn}}

=3^{-2}\\=\left(\frac{1}{3^{2}}\right)\\=\frac{1}{9}

Therefore,

 Value \: of \: (27)^{\frac{-2}{3}}= \frac{1}{9}

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