计算下列各式:1:(a^3b)^2(-ab^3)^3/(-a^2b^2)^2 2:(432*89.5)^0-(1/3)^
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计算下列各式:
1:(a^3b)^2(-ab^3)^3/(-a^2b^2)^2
2:(432*89.5)^0-(1/3)^-2+(0.2)^-3-(1/5)^-2
3:[m^2+n^2/m^2+2mn+n^2+2/mn÷(1/m+1/n)^2]÷1/m+n
4:(5-xy/x^3-x^2y)^2÷(1-5/xy)^2*(y-x)^3
1:(a^3b)^2(-ab^3)^3/(-a^2b^2)^2
2:(432*89.5)^0-(1/3)^-2+(0.2)^-3-(1/5)^-2
3:[m^2+n^2/m^2+2mn+n^2+2/mn÷(1/m+1/n)^2]÷1/m+n
4:(5-xy/x^3-x^2y)^2÷(1-5/xy)^2*(y-x)^3
1:(a^3b)^2(-ab^3)^3/(-a^2b^2)^2
= -a^6b^2 *a^3b^9 /a^4b^4
= -a^9b^11/a^4b^4
= -a^5b^7
2:(432*89.5)^0-(1/3)^-2+(0.2)^-3-(1/5)^-2
= 1- [3^(-1)]^-2 +[5^(-1)]^-3- [5^(-1)]^-2
=1-9+5^3-5^2
= -8+125-25
= -8+100
=92
3:[m^2+n^2/m^2+2mn+n^2+2/mn÷(1/m+1/n)^2]÷1/m+n
= [(m^2+n^2)/(m+n)^2 +2/mn ÷(m+n)^2/(mn)^2]×(m+n)
=[(m^2+n^2)/(m+n)^2 +2/mn ×(mn)^2/(m+n)^2] ×(m+n)
=[(m^2+n^2)/(m+n)^2 +2mn/(m+n)^2]×(m+n)
=(m+n)^2/(m+n)^2×(m+n)
=m+n
4:(5-xy/x^3-x^2y)^2÷(1-5/xy)^2*(y-x)^3
=(5-xy)^2/x^4(x-y)^2 ÷(xy-5)^2/x^2y^2 *(y-x)^3
=(5-xy)^2/x^4(x-y)^2 ×x^2y^2/(xy-5)^2 *(y-x)^3
=y^2/x^2(y-x)^2 *(y-x)^3
=y^2(y-x)/x^2
= -a^6b^2 *a^3b^9 /a^4b^4
= -a^9b^11/a^4b^4
= -a^5b^7
2:(432*89.5)^0-(1/3)^-2+(0.2)^-3-(1/5)^-2
= 1- [3^(-1)]^-2 +[5^(-1)]^-3- [5^(-1)]^-2
=1-9+5^3-5^2
= -8+125-25
= -8+100
=92
3:[m^2+n^2/m^2+2mn+n^2+2/mn÷(1/m+1/n)^2]÷1/m+n
= [(m^2+n^2)/(m+n)^2 +2/mn ÷(m+n)^2/(mn)^2]×(m+n)
=[(m^2+n^2)/(m+n)^2 +2/mn ×(mn)^2/(m+n)^2] ×(m+n)
=[(m^2+n^2)/(m+n)^2 +2mn/(m+n)^2]×(m+n)
=(m+n)^2/(m+n)^2×(m+n)
=m+n
4:(5-xy/x^3-x^2y)^2÷(1-5/xy)^2*(y-x)^3
=(5-xy)^2/x^4(x-y)^2 ÷(xy-5)^2/x^2y^2 *(y-x)^3
=(5-xy)^2/x^4(x-y)^2 ×x^2y^2/(xy-5)^2 *(y-x)^3
=y^2/x^2(y-x)^2 *(y-x)^3
=y^2(y-x)/x^2
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