Question

if x = (3/2) whole power 2 x (2/3) whole power -4. find the value x power -2

Answer 1

Answer:

x‐²=(3/2)² × (2/3)‐⁴

= (3/2)² × (3/2)⁴ [(a/b)‐⁵ = (b/a)⁵]

= (3/2) to the power (2+4)

=(3/2)⁶

= 729/64

(1/x)²= 729/64

1/x= root 729/64

1/x=27/8