Question

利用等式1+2+3+……+100=5050,化简:(x^100y)(x^99y^2)(x^98y^3)……(x^2y^9

Answer 1

x^100y)(x^99y^2)(x^98y^3)……(x^2y^99)(xy^100)

=x^(100+99+...+2+1)y^(1+2+...+99+100)

=x^5050y^5050

=(xy)^5050