Which expression is equivalent to (3x^2y)^2 (2x^4y^2)^2? A. 10x^10y^6
B. 12x^24y^8
C. 24x^10y^7
D. 36x^12y^6

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

20

step-by-step explanation: