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Calculati 4^14 - (6×4^13-2×2^26)

Răspuns :

4^14-(6×4^13-2×2^26)=0
4^14-(6×67108864-2×67108864)=0
4^14-(402653184-134217728)=0
4^14-268435456=0
268435456-268435456=0
Cocirmariadenis

4¹⁴  -  ( 6 x 4¹³ - 2 x 2²⁶ ) = 0

= ( 2² ) ¹⁴ - [ 3 x 2 x ( 2² )¹³ - 2 ⁽¹⁺ ²⁶ ⁾ ] =

= 2²⁸ - ( 3 x 2²⁷ - 2²⁷ ) =

= 2²⁸ - 2²⁷ x ( 3 - 1 ) =

2²⁸ - 2²⁷ x 2=

= 2²⁸ - 2²⁸ =

= 0

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