Răspuns:
1) a) 24 ·13 - 715: 55 +13 =312- 13+13 =299+13=312
b)3+10·{362+10·(24+78:6)}=3+10·{362+10·(24+13)=3+10·(362+10·37)=3+10·(362+370)=3+10·732=3+7230=7233
c) {(3²)⁵ :3⁷-3⁰-3²}·4:34+2²=(3¹⁰:3⁷-3⁰-3²)·4:34+4 = (3³-1-9)·4:34=(27-1-9)·4:34=17·4:34=68:34=2
d)30ⁿ⁺³:10ⁿ⁺³-3ⁿ·3³=(30:10)ⁿ⁺³-3ⁿ⁺³ =3ⁿ⁺³-3ⁿ⁺³=0
e)1+{2+{3 ·(4+5)-6+7·8}-9} =1+[2+(3·9-6+56)-9]=1+{2+(27-6+56)-9]=1+[2+(21+56)-9]=1+(2+77)-9=1+79-9=80-9=71
f)(3⁵)⁹:27⁸=3⁴⁵:(3³)⁸=3⁴⁵:3²⁴=3²¹
2)a)1010110₍₂₎ =86₁₀
1·2⁶+0+1·2⁴+0+1·2²+1·2¹+0=64+16+4+2=86
b) 27:2=13 r1
13:2=6r1
6:2=3r0
3:2=1 r1
1:2=1r1
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