Question

20 ex
Va rog!17 puncte

Answer 1

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Answer 2

$a)13^{5}:13^{3}+[(17^{3})^{5}:17^{14}+2\cdot[(2^{3}\cdot5^{2})^{4}:100^{4}+253:23]]=\\ \\13^{5-3}+[(17^{15}:17^{14}+2\cdot[(2^{4})\cdot100^{4}:100^{4}+11]]= 13^{2}+[(17^{15-14}+2\cdot[(2^{4})+11]]=169+[17+2\cdot(16+11)=169+[17+2\cdot27=169+17+54=240$

$b)41^{6}:41^{6}+53^{7}:53^{6}+11\cdot[6^{66}:6^{11}:6^{54}-2^{145-144}= \\ \\ 1+53+11\cdot[6^{66-11-54}-2]=1+53+11\cdot(6-2)=54+11\cdot4=54+44=98$

$c)(3^{4})^{5}:3^{19}+31^{10+4-15}+156-11+[15^{24}:3^{23}]:5^{22}=3^{20-19}+31+145+3^{24}\cdot5^{24}:3^{23}:5^{22}=3+31+145+3\cdot25=179+75=254$