a的n次幂的平方乘以a的2n加1次幂的n次幂乘以a的3n次幂的多少啊

题目

a的n次幂的平方乘以a的2n加1次幂的n次幂乘以a的3n次幂的多少啊

答案

(a^n)^2*[a^(2n+1)]^n*a^3n
=a^2n*a^n(2n+1)*a^3n
=a^[2n+n(2n+1)+3n]
=a^[2n+2n^2+n+3n]
=a^(2n^2+6n)