Question

If p/q=(2/3)^3 / (3/2)^-3 ,then find the value of (p/q)^-10

Answer 1

Answer:

It is given that p/q = (2/3)^3 + (3/2)^-3

Step-by-step explanation:

We need to determine (p/q)^3 - 10

(p/q)^3 - 10

=> [(2/3)^3 + (3/2)^-3]^3 - 10

=> ((2/3)^3)^3 + ((3/2)^-3)^3 + 3(2/3)^3*((3/2)^-3)^2 + 3(2/3)^3)^2*(3/2)^-3 - 10

=> (2/3)^9 + (3/2)^-9 + 3(2/3)^3*(3/2)^-6 + 3*(2/3)^6*(3/2)^-3 - 10

=> (2/3)^9 + (2/3)^9 + 3(2/3)^3*(2/3)^6 + 3*(2/3)^6*(2/3)^3 - 10

=> 2*(2/3)^9 + 3(2/3)^9 + 3*(2/3)^9 - 10

=> 10*(2/3)^9 - 10

The value of (p/q)^3 - 10 = 10*(2/3)^9 - 10