Question

If a/b = (2/3)^-2 ÷ (5/9)^0 find the value of (a/b)^-3​

Answer 1

Answer: (2/3)^6

Step-by-step explanation:

(2/3)^–2 ÷ (5/9)^0

=> (3/2)^2 ÷1 => (3/2)^2*1 = (3/2)^2

so, the value of (a/b)^–3 = [(3/2)^2]^–3 = (3/2)^–6 = (2/3)^6