Răspuns :
Răspuns:
a). (3^9)^4=3^9•4=3^36
(3^13)^3=3^13•3=3^39
9^16
RĂSPUNS:9^16 < (3^9)^4 < (3^13)^3
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Bună!
a)
[tex](3 {}^{9}) {}^{4} = 3 {}^{9 \times 4} = 3 {}^{36} \\ (3 {}^{13}) {}^{3} = 3 {}^{13 \times 3} = 3 {}^{39} \\ 9 {}^{16} = (3 {}^{2}) {}^{16} = 3 {}^{32} \\ 3 {}^{32} < 3 {}^{36} < 3 {}^{39} [/tex]
b)
[tex](2 {}^{2}) {}^{30} = 2 {}^{2 \times 30} = 2 {}^{60} \\ ((2 {}^{6 \times 2}) {}^{2 \times 11}) {}^{14}=(2 {}^{264}) {}^{14} = 2 {}^{3696} \\((2 {}^{2}) {}^{5}) {}^{3} = (2 {}^{10}) {}^{3} =2 {}^{30} \\ 2 {}^{30} < 2 {}^{60} < 2 {}^{3696} [/tex]