Question

Which of the following is not reciprocal of ${\left(\frac{2}{3}\right)}^4?$
(a) ${\left(\frac{3}{2}\right)}^4$
(b) ${\left(\frac{2}{3}\right)}^{-4}$
(c) ${\left(\frac{3}{2}\right)}^{-4}$
(d) $\frac{3^4}{2^4}$

Answer 1

(c) (3/2)⁻⁴
The reciprocal of is .
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 .