Răspuns :
1) Luni = 1 pagina, Marti = 2x1=2, Miercuri 2x2=4, Joi=4x2=8, Vineri=8x2=16, Sambata 16x2=32, Duminica 32x2=64
Cartea are 1+2+4+8+16+32+64 = 127 pagini
2) (10^4)^2=10^8 si are 8 zerouri
10^4 * 10^2 = 10^6 si are 6 zerouri
10^5 are 5 zerouri
(10^2)^3 = 10^6 si are 6 zerouri
10^8*10^2= 10^10 si are 10 zerouri
10^2*10^3 = 10^5 si are 5 zerouri
3) a) 2^4 se termina in 6, 5 la orice putere se termina in 5
2^4*5^4 se termina in 0 (de la 6x5)
b) 2^13 se termina in 2 (ultima cifra a unui numar ridicat la o ptere se repeta din 4 in 4 puteri)
3*2^13*5^13 se termina in 0 (de la 3*2*5)
c) 2^15 se termina in 8
2^15*5^12 se termina in 0 (de la 8x5)
d) 2^10 se termina in 4
7^27 se termina in 3
2^10*5^6*7^27 se termina in 0 (de la 4x5x3)
Cartea are 1+2+4+8+16+32+64 = 127 pagini
2) (10^4)^2=10^8 si are 8 zerouri
10^4 * 10^2 = 10^6 si are 6 zerouri
10^5 are 5 zerouri
(10^2)^3 = 10^6 si are 6 zerouri
10^8*10^2= 10^10 si are 10 zerouri
10^2*10^3 = 10^5 si are 5 zerouri
3) a) 2^4 se termina in 6, 5 la orice putere se termina in 5
2^4*5^4 se termina in 0 (de la 6x5)
b) 2^13 se termina in 2 (ultima cifra a unui numar ridicat la o ptere se repeta din 4 in 4 puteri)
3*2^13*5^13 se termina in 0 (de la 3*2*5)
c) 2^15 se termina in 8
2^15*5^12 se termina in 0 (de la 8x5)
d) 2^10 se termina in 4
7^27 se termina in 3
2^10*5^6*7^27 se termina in 0 (de la 4x5x3)