8si 9 facute la alta postare
10.
a ) 7 ^(-3+5)*10^(-4+1)=7^2*10^(-3)=49*1/10³=49/1000=0,049
b) 2^(5-11)*5^(2-8)=2^(-6)*5^(-6)=(2*5)^(-6)=10^(-6)=1/10^6=1/1000000=0,000001
c) prin calcul (algoritm invatat la sc.sau descompunere in factori primi si grupare cate 2, sau Iphone/tableta /vcalculator)
rezulta
√196=14
-9√225=-9*15=-135
√(9*225)=√9*√225=3*15=45
144:√64=144:8=18
-√(144:64)=-√144/√64=-12/8=-3/2
√(2^4*3^6*7^2=2^2*3^3*7=4*27*7=756
√(10^100=√[(10^5)^2]=10^5
12 ,. pe calculator
succesiv, in ordinea din text
87; 236; 51,2; 0,065; 10,049875..=10,049 cu trei zecimale exacte, 10,05 rotunjit la ateia zecimala
13. √13=3,6055..
prin lipsa≈3,60;
prin adaus,3,61
√π=1.7724..
prin lipsa≈1,77
prin adaos≈ 1,78 ( adaugat 7 miimi si ceva , deci mai putin de o sutime)
16. 10=1+1+1+7=2*5=-10-(-20)=(√10)²=√100
15. (2^3 * 3)^10*[2*3²]^13=(2^30 )* (3^10)* 2^13* 3^26=
[2^ (30+13) ]* 3*(10+26)=2^43 * 3^36
√n=504=2³ * 3² * 7
n=(√n)²=2^6* 3^4 * 7²
14.
a)
-8*7 +(5^4):5=-56 +5³=-56+125=69
b)
16(27-25)- (2*50-4*5):5
16*2-(100-20):5
16*2-80:5=
16*2-16=
=16
