问题
解答题
若n为正整数,且x2n=7,求(3x3n)2-13(x2)2n的值.
答案
解:因为(3x3n)2-13(x2)2n
=9x6n-13x4n=9×(x2n)3-13×(x2n)2
=9×73-13×72
=9×7×72-13×72
=63×72-13×72
=(63-13)×72
=50×49
=2450.
若n为正整数,且x2n=7,求(3x3n)2-13(x2)2n的值.
解:因为(3x3n)2-13(x2)2n
=9x6n-13x4n=9×(x2n)3-13×(x2n)2
=9×73-13×72
=9×7×72-13×72
=63×72-13×72
=(63-13)×72
=50×49
=2450.