RRB Assistant Loco Pilot and Technician Model Paper 8 with solutions

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Question : 1 of 75

Marks: +1, -0

The value of

( a ^ { x - y } ) ^ { x + y } ⋅( a ^ { y - z } ) ^ { y + z } ⋅ ( a ^ { z - x } ) ^ { z + x }

0
1
-1
x + y + z

Solution:

a ^ { ( x - y ) ( x + y ) }

⋅

a ^ { ( y - z) ( y + z ) }

⋅

a ^ { ( z - x ) ( z + x ) }

=

a ^ { x ^ { 2 } - y ^ { 2 } }

⋅

a ^ { y ^ { 2 } - z ^ { 2 } }

⋅

a ^ { z ^ { 2 } - x ^ { 2 } }

=

a ^ { ( x ^ { 2 } - y ^ { 2 } ) + (y ^ { 2 } - z ^ { 2 } ) + ( z ^ { 2 } - x ^ { 2 } ) }

=

a ^ { 0 } = 1

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