(x-y)^7÷(y-x)^5 已知x^m-n÷x^2n-1=x^11,且 y^m-1÷y^4-n=y^9 ,求mn的值~~~
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(x-y)^7÷(y-x)^5 已知x^m-n÷x^2n-1=x^11,且 y^m-1÷y^4-n=y^9 ,求mn的值~~~
(x-y)^7÷(y-x)^5 已知x^m-n÷x^2n-1=x^11,且 y^m-1÷y^4-n=y^9 ,求mn的值~~~
(x-y)^7÷(y-x)^5 已知x^m-n÷x^2n-1=x^11,且 y^m-1÷y^4-n=y^9 ,求mn的值~~~
∵x^m-n÷x^2n-1=x^11
x^(m-3n+1)=x^11
∴m-3n+1=11
m-3n=10
∵y^m-1÷y^4-n=y^9
y^(m+n-5)=y^9
∴m+n-5=9
m+n=14
解得:m=13 ,n=1
∴mn=13
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