Question

if p/q = (2/3)² × (1/3)-⁴, find the value of (p/q)-²​

Answer 1

Step-by-step explanation:

p/q=(2/3)²×(1/3)-^4

(p/q)-²=[(2/3)²×(1/3)-^4)]-²

(p/q)-²=(2²/3²)-²×(1^-4/3^-4)-²

(p/q)-²=[(2^2×1/2)/(3^2×1/2)]×[(3^4×2)/(1^4×2)]

(p/q)-²=(2/3)×(3²/1²)

(p/q)-²=(2/3)×(9/1)

(p/q)-²=18/3

(p/q)-²=6

(q/p)²=6