Question

如果x³y的m-1次方乘x的m+n次方y的2n+2次方=x的9次方y的9次方,则4m-3n的值是多少?

Answer 1

x³y的m-1次方乘x的m+n次方y的2n+2次方=x的9次方y的9次方

x^3y^(m-1)*X(m+n)y^(2n+2)=x^9y^9

x^(m+n+3)y^(2n+m+1)=x^9y^9

m+n+3=9

2n+m+1=9

m=4

n=2

4m-3n=16-6=10