Question

Urgent va rog!Dau coroana!Ex.16​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

2^35 + 2^37 + 2^39 = 2^35(1 + 2^2 + 2^4) = 2^35(1 + 4 + 16) = 21*2^35

b)

9^1001 + 9^1000 + 7*9^999 = 9^999(9^2 + 9 + 7) = 9^999(81 + 9 + 7) =

= 97*9^999

c)

7*4^35 + 2*4^36 - 4^34 = 4^34(7*4 + 2*4^2 - 4) = 4^34(28 + 32 - 4) = 56*4^34 = 14*4^35

d)

8^200 - 3*8^198 + 2*8^197 = 8^197 (8^3 - 3*8 + 2) = 8^197(512 - 24 + 2) =

=490*8^197

e)

46^135 + 5*46^136 - 46^134 = 46^134(46 + 5*46^2 - 1) = 46^134(46 + 10580 - 1) = 10625*46^134

f)

2^102 - 2^101 - 2^100 - 2^99 = 2^99(2^3 - 2^2 - 2 - 1) = 2^99(8 - 4 - 2 - 1) = 2^99