Question

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

विकल्प

• \[\left( \frac{3}{2} \right)^4\]

   

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

   

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

   

• \[\frac{3^4}{2^4}\]

   

Answer 1

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