Question

Cu explicatii!!!
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Answer 1

Rezolvarea :

^ = la puterea

a = x × x ^ 2 × x ^ 3 × .... × x ^ 20

_______________________

(totul supra )

x × x ^ 3 × x ^ 5 ×....× x 19


a = x ^ ( 1 + 2 + 3 + .... . + 20 )

_____________________

( totul supra )

x ^ ( 1 + 3 + 5 + ... + 19 )


= 1 + 2 + 3 + ... + 20

= 20 × ( 20 + 1 ) totul impartit la 2 = 10 × 21 = 210

1 + 3 + 5 + ... + 15 =

1 × 2 × 0 + 1

3 × 2 × 1 + 1

5 × 2 × 2 + 1

19 × 2 × 9 + 1
___________

S = 20 + 2 × 1 + 2 × 2 + ... + 2× 9 + 10

S = 2 ( 1 + 2 + 3 + ... + 9 ) + 10

S = 2 9 ( 9 + 1 ) totul impartit la 2 + 10 =

= 9 × 10 + 10 = 100


a = x ^ 210
_________

( totul supra )

x ^ 100

a × x ^ 210 = x ^ 100

a = x ^ 210 - 100 = x ^ 110