Question

the above questions answer

Answer 1

(2/3)^8×(3/2)^3
(2)^8/(3)^8×(3)^3/(2)^3)
(2)^5/(3)^5
32/243

Answer 2

Let us first reduce this expression in the form of 2s and 3s.

(6)^3 = (2 * 3) ^3 = 2^3 * 3^3

(4)^3 = ( 2^2)^3 = 2^6


Thus (6)^3/(4)^3 = (2^3 * 3^3) / 2^6
= (3/2)^3

Now our task is to multiply this with (2/3)^8

(2/3)^8 * (3/2)^3

When you subtract the powers of 2 and 3, you get

(2/3)^5 = 32/243