Question

Comparati numerele intregi a si b, unde : a = (2-2*5) * [(-7)^42 : 49^20 +25 : (-5^2) +7 * (-2^2)] :40, iar b = |-3^2| - |-3|^2 + [-12 - |-5| +6^4 : (-3)^4] +32^12 : (-4)^30.

Answer 1

Răspuns:

Explicație pas cu pas:

a = (2-2*5) * [(-7)^42 : 49^20 +25 : (-5^2) +7 * (-2^2)] :40

= (2-10) * [(7)^42 : 7^40 +25 : (-25) +7 * (-4)] :40

= (-8) * (7^2 - 1 - 28) :40

= (-8) * (49 - 1 - 28) :40

= (-8)*20 : 40 = -160 : 40 = -4

__________

b = |-3^2| - |-3|^2 + [-12 - |-5| +6^4 : (-3)^4] +32^12 : (-4)^30

= 9 - 9 + [-12 - 5 + 2^4*3^4 : (-3)^4] + 2^60 : 2^60

= (-17 + 16) + 1 = -1 + 1 = 0

___________

a = -4

b = 0

a < b