What is the value of 10^ 50^ + 50^ . 250^ + 250^ 10^ equal to?

Step-by-step solution

aligned & 10^ 50^ + 50^ 250^ &+ 250^ 10^ aligned aligned & = 1 2 ( 40^ - 60^ + 200^ . & - 300^ + 240^ - 260^ & = 1 2 [ array l 40^ - 1 2 + (180+20)^ - (360-60)^ + (180+60)^ - (180+80)^ array ] & = 1 2 [ 40^ - 1 2 - 20^ - 60^ - 60^ + 80^ ] & = 1 2 [ 40^ - 20^ + 80^ - 1 2 - 1 2 - 1 2 ] aligned aligned & = 1 2 [ 40^ + 80^ - 20^ - 3 2 ] & = 1 2 [2 ( 80+40 2 ) ( 80-40 2 )- 20^ - 3 2 ] & = 1 2 [2 60^ 20^ - 20^ - 3 2 ] & = 1 2 [2 1 2 20^ - 20^ - 3 2 ] & = 1 2 [ 20^ - 20^ - 3 2 ] & = 1 2 [- 3 2 ]=- 3 4 aligned