Question

if x = 1/ 2 , y = -2 / 3 , z = 1 / 4 . verify that x * ( y * z) = ( x * y) * z​

Answer 1

Step-by-step explanation:

Given, x=½, y= -⅔, z=¼

Now,

L.H.S=x*(y*z)

=½*(-⅔*¼)

= -1/12

R.H.S=(x*y)*z

=(½* -⅔)*¼

= -1/12

Hence,proved that L.H.S=R.H.S

Answer 2

Given,

x = 1/ 2 , y = -2 / 3 , z = 1 / 4

To Prove,

x * ( y * z) = ( x * y) * z​

Solution,

x = 1 / 2

y = -2 / 3

z = 1 / 4

Taking the LHS of the given equation,

LHS = x * ( y * z)

Putting values of x, y and z in this equation,

LHS = (1 / 2)*(- 2 / 3 * 1 / 4)

LHS = (1 / 2)*(- 2 / 12)

LHS = (- 2 /24)

Taking the RHS of the given equation,

RHS =( x * y) * z​

Putting values of x, y and z in this equation,

RHS= (1 / 2*- 2 / 3) * (1 / 4)

RHS = (-2 / 6)*(1 / 4)

RHS = (- 2 /24)

LHS = (- 2 /24) = RHS

Hence, equation x * ( y * z) = ( x * y) * z​ is verified.