Explicație pas cu pas:
11.a)4³-3³÷(2⁶-2⁵-2⁴-2³-2²-2²-2¹-2⁰)=
=64-27÷(64-32-16-8-4-2-1)=
=37÷(32-31)=
=37÷1=
=36
b)(7⁴+7³+7²)÷7²+8⁴÷4⁴=
=7²(7²+7+1)÷49+(2³)⁴÷(2²)⁴=
=49(49+8)÷49+2¹²÷2⁸=
=49×57÷49+2⁴=
=2793÷49+16=
=57+16=
=73
c)(5³÷5+2²×3)-(2²+1²⁰¹⁴+6)=
=(5²+4×3)-(4+1+6)=
=(25+12)-(5+6)=
=37-11=
=25
d)[(2⁴)²÷2⁴×2²⁰¹⁴÷2⁹]×3-48×2²⁰⁰¹=
=(2⁸÷2⁴×2²⁰¹⁴÷2⁹)×3-3×2⁴×2²⁰⁰¹=
=2⁸-⁴+²⁰¹⁴-⁹×3-3×2²⁰⁰⁵=
=2²⁰⁰⁹×3-3×2²⁰⁰⁵=
=3×2²⁰⁰⁵×(2⁴-1)=
=3×2²⁰⁰⁵×(16-1)=
=3×2²⁰⁰⁵×15=
=45×2²⁰⁰⁵
