Question

If x = (3/2)^2 × (2/3)^-4 ; then find the value of x^-4.

Answer 1

(3/2)(square) = 9/4

(2/3) power (-4) = 1/(16/81)

therefore

x = 9/4 * 1/(16/81)

= 9/4 * 81/16

= 729/64

Answer 2

(3/2)(square) = 9/4

(2/3) power (-4) = 1/(16/81)

therefore

x = 9/4 * 1/(16/81)

= 9/4 * 81/16

= 729/64