Question

Comparati numerele : a 32 la puterea 13 cu 8 la puterea 21 b 8 la puterea 17 cu 16 la puterea 12 c 27 la puterea 13 cu 9 la puterea 20 d 3 la puterea 27 cu 9 la puterea 13

Answer 1

[tex]a)\\32^{13}=2^{5\cdot 13}=2^{65}\\ 8^{21}=2^{3\cdot21}=2^{63}\\ 32^{13}\ \textgreater \ 8^{21}\\ b)\\8^{17}=2^{3\cdot17}=2^{51}\\ 16^{12}=2^{4\cdot 12}=2^{48}\\ 8^{17}\ \textgreater \ 16^{12}\\ c)\\27^{13}=3^{3\cdot 13}=3^{39}\\ 9^{20}=3^{2\cdot 20}=3^{40}\\ 27^{13}\ \textless \ 9^{20}\\ d)\\9^{13}=3^{2\cdot13}=3^{26}\\ 3^{27}\ \textgreater \ 9^{13} [/tex]