Question

已知(x的2次方y)m次方乘(xy的n次方z)的3次方乘y的4次方z的6次方=x的5次方y的8次方z的p次方，求m+n+p的值

Answer 1

(x^2y)^m*(xy^nz)^3*(y^4z^6)=x^5y^8z)^p
解：(x^2my^m)*(x^3y^3nz^3)*(y4z^6)=x^5y^8z^p
x^(2m+3)y^(m+3n+4)z^(3+6)=x^5y^6z^p
所以 2m+3=5
m+3n+4=8
3+6=p
由此可得：m=1, n=1, p=9,
所以 m+n+p=11。

Answer 2

答案是11

过程看下面图片

 

记得及时采纳哦

Answer 3

(x^2y)^m × (xy^(n) z)^3 × Y^(4)z^6=x^5 × y^8 × z^p
x^(2m)y^m × (x^3y^(3n) z^3) × Y^(4)z^6=x^5 × y^8 × z^p
x^(2m+3) y^(m+3n+4) z^9=x^5 × y^8 × z^p
2m+3=5 m+3n+4=8 p=9
m=1 n=1 p=9
m+n+p=11

Answer 4

已知(x的2次方y)m次方乘(xy的n次方z)的3次方乘y的4次…8867

Answer 5

2^m*4^m*8^m=2^m*2^2m*2^3m=2^(m 2m 3m)=2^6m=2^24 m=4