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Question
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
Options
- \[\left( \frac{3}{2} \right)^4\]
- \[\left( \frac{2}{3} \right)^{- 4}\]
- \[\left( \frac{3}{2} \right)^{- 4}\]
- \[\frac{3^4}{2^4}\]
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Solution
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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1256.249
