Question

. Verify that (x x y)m = xm x ym, for x=2/3, y=5/7 and m=2.

Answer 1

Given :    $(x.y)^m=x^m.y^m$

x = 2/3

y = 5/7

m = 2

To Find :  Verify

Solution:

$(x.y)^m=x^m.y^m$

x = 2/3

y = 5/7

m = 2

LHS  = ( (2/3).(5/7))²

= (10/21)²

= 10²/21²

= 100/441

RHS =  (2/3)².(5/7)²

= (2²/3²).(5²/7²)

= (4/9)(25/49)

= (4 * 25) /( 9 * 49)

= 100/441

100/441 = 100/441

LHS = RHS

Verified

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