Răspuns:
Explicație pas cu pas:
a) (35/95)⁶ x ( 38/14)⁶ = [(7/19)x(19/7)]⁶ = 1⁶ = 1
35/95 =(35:5)/(95:5)=7/19 -> am simplificat fractia 35/95 cu 5
38/14 =(38:2)/(14:2) = 19/7 -> am simplificat fractia initiala cu 2
-> pentru ca sunt puteri cu acelasi exponent, se scriu bazele in produs, la acelasi exponent
-> observam ca se simplifica 7/7, dar si 19/19 rezultand produsul 1
___________________________________________________
b)
(33/50)⁹ x (25/22)⁹ = [(33/22)x(25/50)]⁹ = (3/4)⁹
33/22 =(33:11)/(22:11)=3/2 -> simplific cu 11
25/50 = (25:25)/(50:25) = 1/2 -> simplific cu 25
(3/2) x ( 1/2) = 3/(2x2) = 3/4
_______________________________________________
c)
(3/7)⁴x (49/36)⁴ x (49/36)² =
= [(3/36) x ( 49/7)]⁴ x (7²/6²)² =
= (7/12)⁴ x ( 7/6)²ˣ² =
= [ (7x7)/(12x6)]⁴ =
= (49/72)⁴
_____________________________
d)
(7/17)⁵ : (21/17)⁵ = (7/17)⁵ x (17/21)⁵ = [ (7/21) x (17/17)]⁵ = (1/3)⁵
_________________________________________________
e)
(13/8)⁶ : (39/32)⁶ =[ (13/8) x (32/39)]⁶ = [ (13/39) x(32/8)]⁶ = (4/3)⁶
