Tricky Tricks

Algebra Level 3

Given that x 0 ≠ 0 x_{0}\neq0 and ( a , b , c , . . , z ) (a,b,c,..,z) are real numbers, (The letters there are all the letters of the English Alphabet)

Evaluate:

x 0 [ ( a − m ) ( b − m ) ( c − m ) . . . ( y − m ) ( z − m ) ] \displaystyle x_{0}^{[(\sqrt{a-m})(\sqrt{b-m})(\sqrt{c-m})...(\sqrt{y-m})(\sqrt{z-m})]}

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Sean Ty by Sean Ty , 21, Philippines

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1 solution

Prashant Goyal
Aug 6, 2014

in the power there will be m-m which is equal to 0.hence whole power turns zero therefore x raised power 0 =1

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