Question

1、如果(a的n次方×b的m次方×b)的三次方=a的九次方b的15次方,那么m、n的值为

Answer 1

1,m=4,n=3

2,x=5,y=4

3,6^m=(2*3)^m=2^m*3^m=15

4,ab=4

(-2x^2y^3)^2=4x^4y^6 (2×10^3×3×10^4)^2=3.6x10^15

5,v=4πr^3/3=4x3x(6x10^5)^3/3=8.64x10^17

6,x^5×x^2n-1×(y^n+2)^2=x^(5+2n-1)*y^2(n+2)=x^(2n+4)*y^(2n+4)=(xy)^(2n+4)=(3*1/3)^(2n+4)=1