Question

(1/5)a la 3* (5/3)a la 2*(1/5) a la 4

Answer 1

a) (1/5)^3 = 5^(-3)
b) (5/3)^2 = 5^2 * 3^(-2)
c) (1/5)^4 = 5^(-4)

En el problema :

(1/5)^3 * (5/3)^2 * (1/5)^4
=5^(-3) * 5^2 * 3^(-2) * 5^(-4)
=5^(-4+2-4) * 3^(-2)
=5^(-5) * 3^(-2)
=1/(3125*9)
= 1/28125