Question

已知（2¹²+8）²-（2¹²-8）²=2^n,求n的值.

Answer 1

（2¹²+8）²-（2¹²-8）²=2^n

2^24+2*2¹²+64-（2^24-2*2¹²+64）=2^n

2^24+2*2¹²+64-2^24+2*2¹²-64=2^n

4*2¹²=2^n

(2^2)*2¹²=2^n

2^2*2¹²=2^n

2^14=2^n

n=14