(1)(1/2)^-1*(1/2)-1
=2*(1/2)-1=0
(2)(-10)^5÷(-10)^3-10^3*10^-2+(-10)^0
=100-10+1=91
(3)a^-2b^-3*(-3a^-1b^2)÷6a^-4b^-2
=a^(-2-1+4)b^(-3+2+2)(-3)/6
=-ab/2
(4)(3ab)^-3(2ab^-1)^-2
=3^(-3)2^(-2)a^(-3-2)b^(-3+2)
=a^(-5)b^(-1)/108
(5)(m^-1n^2p)^-2÷2mn^-1q
=m^(2-1)n(-4p+q)/2
=mn^(q-4p)/2
(6)(a^2-2+a^-2)÷(a-a^-1)
=(a-a^-1)^2/(a-a^-1)
=a-a^(-1)