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(2^99+2^99+2^100)^2:(2^101)^2​

Răspuns :

Răspuns:

1

Explicație pas cu pas:

(2^99+2^99+2^100)^2:(2^101)^2​

Luam (2^99+2^99+2^100)^2. Dam factor comun pe 2^99 si avem:

[2^99(1+1+2)]^2 = [2^99*4]^2 = (2^99*2^2)^2 = (2^101)^2

(2^101)^2:(2^101)^2 = 1

Răspuns:

[2^99(1+1+2)]^2:(2^101)^2=

(2^99*4)^2:2^101*2=

(2^99*2^2)^2:2^202=

(2^101)^2÷2^202=

2^202:2^202=1