Question

9. Determinați ultima cifră a numerelor:
a)
${99}^{51}$

b)
${11}^{53} + {15}^{53} + {17}^{53}$

c)
${313}^{100}$

d)
${68}^{86}$

e)
${89}^{37} + {88}^{38} + {87}^{39}$

f)
${71}^{10000001}$

g)
${1009}^{9001}$

h)
${77}^{36} + {77}^{37} + {77}^{38} + {77}^{39}$
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Answer 1

Sunt cam multe.

$U(71^{10^{6}+1})= U(1^{10^6+1}) = 1\\ \\ \\U(1009^{9001}) = U(1009^{9000}\cdot 9) = U(9^{9000}\cdot 9) = U(81^{4500}\cdot 9) = \\ \\ = U(1\cdot 9) = 9$

Answer 2

Răspuns:

Explicație pas cu pas: