Question

if x= (5/3)² × (3/5)-³ , find the value of x-²​

Answer 1

Step-by-step explanation:

Given,

x=(5/3)^2 *(3/5)^-3

x = (5*5/3*3)*(3^-3/5^-3)

x= (5^2/3^2) * (5^3/3^3)

x = 5^2+3/3^2+3

x= 5^5/3^5

x= (5/3)^5

so,

x^-2 = (5/3)^5-2

x^-2 = (5/3)^3

x^-2 = 125/27