Question

By what number should we multiply 81^3/16 so that the product become 3^5/4

Answer 1

Answer:

81^3/16 * x =3^5/4

x=3^5/4*16/81^3

x=4/2187

Answer 2

Answer:

3^1/2

Step-by-step explanation:

ATQ;

let the no. to be multiplied be ' y '

81^3/16 x y = 3^5/4

=> (3^4)^3/16 x y = 3^5/4

=> 3^3/4 x y = 3^5/4

=> y =( 3^5/4)/(3^3/4)

=> y = 3^5/4 - 3/4

=> y = 3^2/4

=> y = 3^1/2 = root 3