9.
a)2³⁰×3³⁰:6²⁹-27³:9⁴+16⁴:8³:2⁴=6³⁰:6²⁹-3⁹:3⁸+2¹⁶:2⁹:2⁴=6¹-3¹+2¹⁶:2¹³=
=6-3+2³=3+8=11
b)3⁴⁵:(3⁴⁴+3⁴⁴+3⁴⁴)+20²⁰:(2¹⁹+2¹⁹)=3⁴⁵:3⁴⁴(1+1+1)+2²⁰:2¹⁹(1+1)=
=3⁴⁵:3⁴⁴×3+2²⁰:2¹⁹×2=3⁴⁵:3⁴⁵×3+2²⁰:2²⁰=1+1=2
c)(2³⁸:2¹⁰+6²³:6¹³):[2¹⁰×3¹⁰+(2¹⁴)²]=(2²⁸+6¹⁰):(6¹⁰+2²⁸)=1
d)3⁴⁰:[3²⁰×3¹⁸+(3⁵×3¹⁴)²+(4²⁰:4¹⁹-1)³⁸=3⁴⁰:[3³⁸+(3¹⁹)²+(4¹-1)³⁸]=
=3⁴⁰:(3³⁸+3³⁸+3³⁸)=3⁴⁰:[3³⁸(1+1+1)]=3⁴⁰:(3³⁸×3)=3⁴⁰:3³⁹=3
10.
a)[(2⁸)³:8:(2⁶+2⁶)-16³×4⁵:2⁸]:2¹²+2=[(2²⁴:2³:2⁶(1+1)-2¹²×2¹⁰:2⁸]:2¹²+2=
=[(2²¹:2⁷-2²²:2⁸]:2¹²+2=[(2¹⁴-2¹⁴):2⁸]:2¹²+2=0:2¹²+2=0+2=2
b)2¹⁰+2⁵⁶:(2×2²×2²⁰)²=2¹⁰+2⁵⁶:(2²³)²=2¹⁰+2⁵⁶:2⁴⁶=2¹⁰+2¹⁰=2¹⁰(1+1)=2¹⁰×2=2¹¹
c)(2³²-4¹⁶):(2³⁷+5¹⁰)=(2³²-2³²):(2³⁷+5¹⁰)=0:(2³⁷+5¹⁰)=0
d)(2¹-1²)(3²-2³)(4²-2⁴)(2⁵-5²)(2⁶-6²)=1×(3²-2³)(2⁴-2⁴)(2⁵-5²)(2⁶-6²)=
=1×(3²-2³)×0×(2⁵-5²)(2⁶-6²)=0
e)2005²⁰⁰⁵:2005²⁰⁰⁴+(2005²⁰⁰⁵+2004²⁰⁰⁴+2003²⁰⁰³)⁰=2005¹+1=
=2005+1=2006
