Question

Efectuati folosind regulile de calcul cu puteri : . 5 la puterea 12 : 5 la puterea 10 = / 7 la puterea 23 x 7 la puterea 7 : 7 la puterea 28 = / (11 la puterea 3)supra 10 : 11 la puterea 29 = / 10 la puterea 2 x 10 la puterea 5 : 10 la puterea 6 = / (3la puterea 2) supra 13 : (3la puterea 10)supra 2 : 3 la puterea 4 = / 9 la puterea 2 x 9 la puterea 3 x 9 la puterea 4 x 9 la puterea 5 : 9 la puterea 12 = .Va rog frumos sa fie cat mai explicit cu tot cu rezolvare , cine o scrie cel mai bine primeste coronita !

Answer 1

a) 7*7^23:7^24=7^24:7^24=1
b) 11^50-11*11^49=11^50-11^50=0
c)2^17*2^18-2^34*2=2^35-2^35=0
d) (29-2*7)^2*15^20-15^22=15^2*15^20-15^22=15^22-15^22=0
e) 9^2*9^18-9^20=9^20-9^20
f) (4^2:2^2)^2*4^18:256^5=(2^4:2^2)^2*(2^2)^18:(2^8)^5=2^(2*2)*2^(18*2):2^40=2^(4+36):2^40=
   2^40:2^40=1
2. a) 13^31:13^30+13=13+13=26
     b) 7^29:7^26-7^2=7^3-7^2=7^2(7-1)= 49*6=294
     c) 7^17:7^13-7^3+ 13^0=7^4-7^3+1=7^3(7-1)+1=343*6+1=2059
    d) 15^22:15^20-15^0=15^2-1=225-1=224
    e) 3^2*(3^2)^18:(3^3)^6=3^2*3^36:3^18=3^38:3^18=3^20