Question

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The value of 27'3 273 -273
is:​

Answer 1

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

${27}^{( -\frac{1}{3})} \times \left( {27}^{ (- \frac{1}{3})} - {27}^{( - \frac{2}{3} )}\right)^{ - 1} \\ \\ (\dfrac{1}{27})^{( \dfrac{1}{3}) } \times( (\dfrac{1}{27})^{( \dfrac{1}{3}) } - (\dfrac{1}{27})^{( \dfrac{2}{3}) } )^{ - 1} \\ \\ \sqrt[3]{(\dfrac{1}{27})} \times ( \sqrt[3]{(\dfrac{1}{27})} - (\sqrt[3]{(\dfrac{1}{27})})^{2} )^{ - 1} \\ \\ \dfrac{1}{3} \times ( \dfrac{1}{3} - \dfrac{1}{9} )^{ - 1} \\ \\ \dfrac{1}{3} \times ( \dfrac{3 - 1}{9} )^{ - 1} \\ \\ \dfrac{1}{\not{3}} \times \dfrac{\not{9}}{2} = \frac{3}{2}$

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