Question

Question 33

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

(a) ${\left(\frac{3}{2}\right)}^4$

(b) ${\left(\frac{3}{2}\right)}^{-4}$

(c) ${\left(\frac{2}{3}\right)}^{-4}$

(d) $\frac{3^4}{2^4}$

Answer 1

Reciprocal of a is $\frac{1}{a}$
Similarly, reciprocal of ${\left(\frac{2}{3}\right)}^4={\left(\frac{3}{2}\right)}^4=\frac{3^4}{2^4}={\left(\frac{2}{3}\right)}^{-4}$

$\therefore {\left(\frac{3}{2}\right)}^{-4}isnotareciprocalof{\left(\frac{2}{3}\right)}^4$