Question

Daca a=2^1+3^1+4^1+........+100^1 , b=0^1+0^2+.......0^100 ai c=1^1+1^2+1^3+1^100 , calculati a^c^b
dau coroana ........^ = la puterea
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Answer 1

Răspuns:

Explicație pas cu pas:

a=2^1+3^1+4^1+........+100^1 = 2 + 3 + 4 + ...+ 100 = 1 + 2 + 3 + 4 + ...+ 100 - 1

= 100*101/2 - 1 = 50*101 - 1 = 5050 - 1 = 5049

b=0^1+0^2+.......0^100  = 0 + 0 + ...+ 0 = 0

c=1^1+1^2+1^3+...+ 1^100 = 1 + 1 + 1 + ...+ 1 = 100

c^b = 0^100 = 0

a^c^b = 5049^0 = 1