Răspuns:
Explicație pas cu pas:
[tex]\bf a)~8^{15}: 8^{12}= 8^{15-12}= 8^{3}[/tex]
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[tex]\bf b)~13^{31}: 13^{30}+13= 13^{31-30}+13= 13^{1}+13=26[/tex]
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[tex]\bf c)~7^{29}: 7^{26}-7^{2}= 7^{29-26}-7^{2}=7^{2}\cdot (7^{3-1}-7^{2-2})=7^{2}\cdot 7=7^{3}[/tex]
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[tex]\bf d)~7^{17}: 7^{13}-7^{3}+13^{0}= 7^{17-13}-7^{3}+1=[/tex]
[tex]\bf 7^{4}-7^{3}+1=7^{3}\cdot(7^{4-3}-7^{3-3})+1=7^{3}\cdot(7^{1}-7^{0})+1=[/tex]
[tex]\bf 7^{3}\cdot(7^{1}-7^{0})+1= 7^{3}\cdot(7-1)+1=7^{3}\cdot 6+1=[/tex]
[tex]\bf 343\cdot 6+1=2058+1=2059[/tex]
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[tex]\bf e)~(11+4)^{22}: 15^{20}-15^{0}= 15^{22}: 15^{20}-1=[/tex]
[tex]\bf 15^{22-20}-1=15^{2}-1=225-1=224[/tex]
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[tex]\bf f)~(42:14)^{2}\cdot9^{18}:27^{6}= 3^{2}\cdot3^{36}:3^{18}=3^{2+36-18}=3^{20}[/tex]
