Question

3. Pentru fiecare expresie din coloana din stânga alegeți răspunsul corect din coloana din
dreapta:
a) (2⁶)⁸ (2⁵)⁹=
b) (2⁰+4¹ +1⁴ +0⁴)²:3=
c) 3⁵-3²=
d) (15+5²)×2-8²=
1)235
2)16
3)8
4)27
5)12
dau coroana​

Answer 1

Răspuns:

$a) \\ (2 {}^{6} ) {}^{8} \div (2 {}^{5} ) {}^{9} = 2 {}^{6 \times 8} \div 2 {}^{5 \times 9} = 2 {}^{48 - 45} = 2 {}^{3} = 8 \\ \\ b) \\ (2 {}^{0} + 4 {}^{1} + 1 {}^{4} + 0 {}^{4} ) {}^{2} \div 3 = (1 + 4 {}^{1} + 1 {}^{4}) {}^{2} \div 3 = (1 + 4 + 1 {}^{4} + 0 {}^{4} ) {}^{2} \div 3 = (1 + 4 + 1 + 0 {}^{4}) {}^{2} \div 3 = (1 + 4 + 1 + 0) {}^{2} \div 3 = 6 {}^{2} \div 3 = \frac{6 {}^{2} }{3} = \frac{36}{3} = 12 \\ \\c) \\ 3 {}^{5} - 3 {}^{2} = (3 {}^{3 } - 1) \times 3 {}^{2} = (27 - 1) \times 9 = 26 \times 9 = 234 \\ \\ d) \\ (15 + 5 {}^{2} ) \times 2 - 8 {}^{2} = (15 + 25) \times 2 - 64 = 40 \times 2 - 64 = 80 - 64 = 16 \\ \\ a = 3\:)8 \\ b = 5)12 \\ c = 1)234 \\ d = 2)16$