Exercițiul 7 orice puncte daca se poate toate,va rog!!
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a)4^37/(2*2^71)+(3+3*105)/106=
2^74/2^72+(3+315)/106=
2^2+318/106=
4+3=
7
b)3^3+3^10/3^8*3+3*3^7/3^5+2*3^10/(5*3^5+3^3)=
3^3+3^3+3^3+2*3^(10-5)*6+3^(2+3)=
3^3(1+1+1)+2*3^5*2*3+3^5=
3^3*3+2^(1+1)*3^(5+1)+3^5=
3^(3+1)+2^2*3^5+3^5=
3^4+2^2*3^5(1+1)=
3^4+2^2*3^5*2=
3^4+2^(1+1)*3^5=
3^4+2^2*3^5=
3^4(1+2^2*3)=
81(1+4*3)=
81*13=1053
c) [3^2*3^3+2^54/2^52+(3^5)^4/3^20]/31=
(243+4+3^20/3^20)/31=
248/31=8
d) [3^48/3^18+(2^4)^5+6^23/6^13]/[(3^5)^2*(2^2)^5+3^17*3^13+(2^5)^4]=
[(3^30+2^20+6^10)/(3^10*2^10+3^30+2^20)]=
[(3^3)^10+(2^2)^10+(2*3)^10]/[(3*2)^10+(3^3)^10+(2^2)^10]=
[27^10+4^10+6^10]/[6^10+27^10+4^10]=1
2^74/2^72+(3+315)/106=
2^2+318/106=
4+3=
7
b)3^3+3^10/3^8*3+3*3^7/3^5+2*3^10/(5*3^5+3^3)=
3^3+3^3+3^3+2*3^(10-5)*6+3^(2+3)=
3^3(1+1+1)+2*3^5*2*3+3^5=
3^3*3+2^(1+1)*3^(5+1)+3^5=
3^(3+1)+2^2*3^5+3^5=
3^4+2^2*3^5(1+1)=
3^4+2^2*3^5*2=
3^4+2^(1+1)*3^5=
3^4+2^2*3^5=
3^4(1+2^2*3)=
81(1+4*3)=
81*13=1053
c) [3^2*3^3+2^54/2^52+(3^5)^4/3^20]/31=
(243+4+3^20/3^20)/31=
248/31=8
d) [3^48/3^18+(2^4)^5+6^23/6^13]/[(3^5)^2*(2^2)^5+3^17*3^13+(2^5)^4]=
[(3^30+2^20+6^10)/(3^10*2^10+3^30+2^20)]=
[(3^3)^10+(2^2)^10+(2*3)^10]/[(3*2)^10+(3^3)^10+(2^2)^10]=
[27^10+4^10+6^10]/[6^10+27^10+4^10]=1
Dddaa:
Multumesc mult mult mult
=10*{24² : 24²+3*[(3³⁰*2¹⁵) :( 3²⁹*2¹⁵)+1]}:13=
=10*[1+3*(3+1)]:13=10*(1+3*4):13=10*13 : 13= 10 f)2^100:[2^50•2^48+(2^10•2^15)^5:2^27+(5^76:5^75-3)^90•2^8+2^98]=
=2^100:[2^98+(2^25)^5:2^27+(5^1-3)^90•2^8+2^98]=
=2^100:(2^98+2^125:2^27+2^90•2^8+2^98)=
=2^100:(2^98+2^98+2^98+2^98)=
=2^100:2^98×(2^0+2^0+2^0+2^0)=
=2^100:2^98×(1+1+1+1)=
=2^100:2^98×4=
=2^100:2^98×2^2=
=2^100:2^100=1
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