a)
(-5)¹⁰⁰ /(-3)¹⁰³=5¹⁰⁰ /[-(3¹⁰³)]=-5¹⁰⁰ /3¹⁰³ (fractie ireductibila)
b)(-10/17)⁵×(-51/2)⁵×(-1/15)⁵=(-10⁵/17⁵)×(-3⁵×17⁵/2⁵)×[-1/(3⁵×5⁵)]=
=-10⁵/17⁵×3⁵×17⁵/2⁵× 1/(3⁵×5⁵)=-(10⁵×3⁵×17⁵)/(17⁵×2⁵×3⁵×5⁵)=
=-(10⁵×3⁵×17⁵)/(17⁵×3⁵×10⁵)=-1
c)
[6-4(2/3)⁰]⁻²=[6-4×1]⁻²=(6-4)⁻²=2⁻²=1/2²=1/4