Răspuns :

(3/11-4/55×5/2):1/(-2)²-2/5+[(3/2-1)⁵]⁶:[(1/2)¹⁰]³=

=(3/11-2/11):1/4-2/5+[(3/2-2/2)⁵]⁶:(1/2)³⁰=

=1/11:1/4-2/5+[(1/2)⁵]⁶:(1/2)³⁰=

=1/11×4-2/5+(1/2)³⁰:(1/2)³⁰=

=4/11-2/5+1=

=20/55-22/55+55/55=

= -2/55+55/55=53/55

Răspuns:

Explicație pas cu pas:

3/11 - 4/55*5/2 = 3/11 - 2/11 = 1/11

1/(-2)^2 = 1/4

1/11 : 1/4 = 1/11*4/1 = 4/11

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4/11 - 2/5 = 20/55 - 22/55 = -2/55

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3/2 - 1 = 3/2 - 2/2 = 1/2

[(1/2)^5]^6 = (1/2)^30

[(1/2)^10]^3 = (1/2)^30

(1/2)^30 :  (1/2)^30 = 1

_______________

-2/55 + 1 = -2/55 + 55/55 = 53/55