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Comparati: + Explicare.

b) (2^5)^10x4^25 sau 6^40
c) 2*2^2*2^3 * ... *2^10 sau 6^5^2-^3


Răspuns :

(2^5)^10x4^25 =

= 2^50×2^50

= 2^100

= (2^10)^10

= 1024^ 10

6^40 =

= (6^4)^10

= 1296^ 10

1024^10 < 1296^10

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2×2^2×2^3×..×2^10 =

= 2^(1+2+..+10)

= 2^(10×11÷2)

= 2^55

= (2^5)^11

= 32^11

6^(5^2)-3 =

= 6^(25-3)

= 6^22

= (6^2)^11

= 36^11

32^11 < 36^11