Răspuns:
[tex]\bf a)~~ 2^{17} \cdot 2^{21}= 2^{17+21} =\red{\underline{ ~2^{38} }}[/tex]
[tex]\bf b)~~ 3^{45} \cdot 3^{87} \cdot 7=3^{45+87} \cdot 7 =\purple{\underline{ ~3^{132} \cdot 7 }}[/tex]
[tex]\bf c)~~ 7^{19} \cdot 7^{83} \cdot 7=7^{19+83+1} =\blue{\underline{ ~7^{103}}}[/tex]
[tex]\bf d)~~ 2^{47}: 3^{39}= ??[/tex]
[tex]\bf e)~~ 5^{108}: 5^{72}= 5^{108-72} =\green{\underline{ ~5^{36} }}[/tex]
[tex]\bf f)~~ 2^{37} \cdot 2^{47}:2^{50} = 2^{37+47-50} =\pink{\underline{ ~2^{34} }}[/tex]
[tex]\bf g)~\Big(10^{10}\Big)^{15} =10^{10\cdot15} =\purple{\underline{ ~10^{150} }}[/tex]
[tex]\bf h)~\Big(2^{17}\Big)^{8}\cdot 2^{31} =2^{17\cdot8} \cdot 2^{31}=2^{136+31}=\blue{\underline{ ~2^{167} }}[/tex]
[tex]\bf i)~3^{108}:\Big(3^{15}\Big)^{6}=3^{108}:3^{15\cdot6}=3^{108-90}=\red{\underline{ ~3^{18} }}[/tex]
