d)7^11/7^10+5^4/5+4^2=
=7+125+16=148
e)(3^8*5^3)^3:(3^5*5^2)^4=
=(3^24*5^9):(3^20*5^8)=
=3^4*5=81*5=405
f)(6^8*5^3)^3/(3^5*5^2)^4=
=(2^8*3^8*5^3)^3/(3^5*5^2)^4=
=(2^24*3^24*5^9)/(3^20*5^8)=
=2^24*3^4*5=6794772480
g)[5^17*(5^2)^3+7^23/(7^5)^3]/[7*7^2*7^5+5^2^5/5^9]=
=[5^17*5^6+7^23/(7^15)]/[7*7^7+5^32/5^9]=
=[5^23+7^8]/[7^8+5^23]=1
h)[7^17*(7^2)^3+3^23/(3^3)^5]/[3^3*3^2*3^3+7^2^5/7^9]=
=[7^23+3^23/3^15]/[3^8+7^32/7^9]=
=[7^23+3^8]/[3^8+7^23]=1
j)3*[5^3^2/5^2^3+(3^4-2^4*5)^2015+8^7/16^5]=
=3*[5^9/5^8+(81-80)^2015+2^21/2^20]=
=3*[5+1^2015+2]=
=3*[5+1+2]=
=3*8=24
e)(2^7*3^5)^2=2^14*3^10
f)(3^2*5^3)^3/(3*5^2)^4=
=(3^6*5^9)/(3^4*5^8)=
=3^2 *5=9*5=45
g)(2^5*7^3)^2/(2^3*7^2)^3=
=(2^10*7^6)/(2^9*7^6)=
=2
h)2^3+[(2^3)^7-(2^7)^3]*2*2^2013=
=2^3+[(2^21-2^21]*2*2^2013=
=2^3+0*2*2^2013=2^3=8
j){2^0+2*2^3*2^5+[(2^3)^2]^6}/(1+16*2^5+2^36)=
={1+2^9+(2^36]/(1+2^9+2^36)=1
(aici am facut ceva modificari-verifica)
k)3^5/9^2+5^4*25^2/125^3-2^6/4^3=
=3^5/3^4+5^4*5^4/5^9-2^6/2^6=
=3+5^8/5^9-1=
=2+1/5=
=11/5
Aflati cel mai mic numar natural de 4 cifre care impartit la 23 da restul 15.
1000:23≈43,47
23*43+15=1004
Aflati cel mai mare numar natural de trei cifre care impartiti la 12 da restul 5.
100:12≈8,333
12*8+5=101
Aflati cel mai mic numar natural care impartit la 320 da rest un numar impar, iar catul este 83.
x:320=83 si rest nr impar
83*320+1=26561
Aflati ce numar natural impartit la 27 da catul 35 si restul 14.
x:27=35 si rest 14
x=27*35+14=959
Aflati toate numerele naturale care impartite la 4 dau catul 24.
4*24=96
4*24+1=97
4*24+2=98
4*24+3=99
Aflati toate numerele naturale care impartite la 6 dau catul 32.
6*32=192
6*32+1=193
6*32+2=194
6*32+3=195
6*32+4=196
6*32+5=197
