Question

stabiliti valoarea de adevar a urmatoarelor afirmatii:a)2•3²+5²:5la puterea 0+4²•3-(6⁴)la puterea 6:2²²:(3⁴)la a 6+5655:435=100
b)(2la puterea 6)totul la a 5•{3⁴•28-[3-(2³•5³-3²•10²-5²):(1+4)²]10⁴-2la puterea a 2 la puterea 0•3⁴}<2la puterea 7•4la a 5•3la 25

Answer 1

a)2•3²+5²:5⁰+4²•3-(6⁴)⁶:2²²:(3⁴)⁶+5655:435=
=2•3²+5²:1+4²•3-(2²⁴•3²⁴):2²²:3²⁴+13=
=2•3²+5²+4²•3-2²+13=
=18+25+48-4+13=100

b)(2⁶)⁵•{3⁴•28-[3-(2³•5³-3²•10²-5²):(1+4)²]10⁴-2² la puterea 0•3⁴}<2⁷•4⁵•3²⁵

2³⁰•{3⁴•28-[3-(10³-3²•10²-5²):5²]10⁴-1•3⁴}=
=2³⁰•{3⁴•28-[3-(10²-5²):5²]10⁴-3⁴}=
=2³⁰•{3⁴•28-[3-(2²-1)]10⁴-3⁴}=
=2³⁰•[3⁴•28-(3-3)10⁴-3⁴]=
=2³⁰•(3⁴•28-3⁴)=
=2³⁰•3⁴(28-1)=
=2³⁰•3⁴•3³=
=2³⁰•3⁷=
=2¹⁷•3⁷•2¹³   

2⁷•4⁵•3²⁵=2⁷•2¹⁰•3²⁵=2¹⁷•3²⁵=2¹⁷•3⁷•3¹⁸
2¹⁷•3⁷•2¹³    < 2¹⁷•3⁷•3¹⁸