Question

By what number should (2/3)-² be multiplied so that the product is (4/27)-¹

Answer 1

Answer:

3

Step-by-step explanation:

(2/3) power -2 = 9/4

similarly 4/27 power -1 = 27/4

so 9/4 * x = 27/4

x= 27/4* 4/9

x =3

Answer 2

Answer:

let the number be y

(2/3) ^ -2 = (3/2) ^ 2 (N^-1 = (1/N)^1 it gets inversed)

(4/27) ^ -1 = (27/4) ^ 1

9/4 x y = 27/4

y = 27/4 ÷ 9/4

y = 3/1

  = 3