Question

Dau coroana !Arata ca urmatoarele numere sunt patratele unor numere naturale:


a)11 la puterea 4

b)21 la puterea 17 : 21 la puterea 13

c)17 la puterea 13×17la puterea19

d)(7la puterea 3) totul la puterea 6

e)2 la puterea 8×4la puterea3×16

f)25 la puterea 17

g)36 la putere7 : 6la puterea8

h)2la puterea35 +2la puterea 35

i)5la puterea 15 - 5la puterea 14

Answer 1

11^4=(11^2)^2
21^17:21^13=21^4=(21^2)^2
17^13*17^19=17^32=(17^16)^2
(7^3)^6=7^18=(7^9)^2
2^8*4^3*16=2^8*2^6*2^4=2^(8+6+4)=2^18=(2^9)^2
25^17=(5^2)^17=5^34=(5^17)^2
36^7:6^8=6^14:6^8=6^6=(6^3)^2
2^35(1+1)=2^35*2=2^36=(2^18)^2
5^14(5-1)=5^14*2^2=(5^7)^2*2^2=(5^7*2)^2