Simplicity

Algebra Level 2

Let

x= 1 100 \frac { 1 }{ 100 }

Find the value of

( x − 1 1 2 ) ( x − 1 2 2 ) . . . ( x − 1 10 0 2 ) (x-\frac { 1 }{ { 1 }^{ 2 } } )(x-\frac { 1 }{ { 2 }^{ 2 } } )...(x-\frac { 1 }{ 100^2 } )


The answer is 0.

K. J. W. by K. J. W. , 20, Singapore

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1 solution

K. J. W.
Jul 30, 2014

x − ( 1 / 10 ) 2 = 0 x-(1/10)^2=0

Therefore the whole multiplication is zero.

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