Question

18. Calculează: a) 2*11^12: (2*11^11 +22*11^10) =… b) 2^1000 - +(2^999 + 2^999)=…

Answer 1

Explicație pas cu pas:

a)

$2 \cdot 11^{12} : (2 \cdot 11^{11} +22 \cdot 11^{10}) = 2 \cdot 11^{12} : (2 \cdot 11^{11} + 2 \cdot 11 \cdot 11^{10}) = 2 \cdot 11^{12} : (2 \cdot 11^{11} + 2 \cdot 11^{11}) = 2 \cdot 11^{12} : (4 \cdot 11^{11}) = \dfrac{2 \cdot 11^{12}}{4 \cdot 11^{11}} = \bf \dfrac{11}{2}$

b)

$2^{1000} - (2^{999} + 2^{999}) = 2^{1000} - (2 \cdot 2^{999}) = 2^{1000} - 2^{1000} = \bf 0$