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Which of the Following is Not Reciprocal of ( 2 3 ) 4 ? - Mathematics

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प्रश्न

Which  of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]

विकल्प

  • \[\left( \frac{3}{2} \right)^4\]

     

  • \[\left( \frac{2}{3} \right)^{- 4}\]

     

  • \[\left( \frac{3}{2} \right)^{- 4}\]

     

  • \[\frac{3^4}{2^4}\]

     

MCQ
योग

उत्तर

\[\left( \frac{3}{2} \right)^{- 4}\]
The reciprocal of  `(2/3)^4` is `(3/2)^4`
Therefore, option (a) is the correct answer.
Option (b) is just re-expressing the number with a negative exponent.
Option (d) is obtained by working out the exponent.
Hence,option (c) is not the reciprocal of `(2/3)^4`.
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अध्याय 2: Powers - Exercise 2.4 [पृष्ठ २३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 8
अध्याय 2 Powers
Exercise 2.4 | Q 4 | पृष्ठ २३

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