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Która nierówność jest prawdziwa?


Która Nierówność Jest Prawdziwa class=

Odpowiedź :

[tex]B.\\(6^{3})^{5} = 6^{3\cdot5} = 6^{15}\\\\(6^{5})^{3}=6^{5\cdot3} = 6^{15}\\\\(6^{3})^{5} = (6^{5})^{3}\\\\\\A.\\((-13)^{2})^{5} = (-13)^{2\cdot5} = (-13)^{10} = 13^{10}\\\\((-13)^{5})^{4} = (-13)^{5\cdot4} = (-13)^{20} = 13^{20}\\\\\underline{((-13)^{2})^{5} < ((-13)^{5})^{4}}[/tex]

[tex]C.\\0,04^{3} = (0,2^{2})^{3} = 0,2^{2\cdot3} = 0,2^{6}\\\\0,2^{6} = 0,04^{3}\\\\\\D.\\8^{20} = (2^{3})^{20} = 2^{60}\\\\16^{10} = (2^{4})^{10} = 2^{40}\\\\8^{20} > 16^{10}[/tex]

[tex]\underline{Odp. \ A}[/tex]