[tex]5^{3} *5 ^{5} *5*5 ^{10} = 5^{3+5+1+10} = 5^{19}[/tex]
[tex]47*47 ^{2} *47 ^{10} = 47^{1+2+10} = 47^{13} [/tex]
[tex]2 ^{17} *2 ^{21} = 2^{17+21} =2 ^{38} [/tex]
[tex] 5^{108} :5 ^{72}= 5^{108-72} = 5^{36} [/tex]
[tex] (10^{12}) ^{15} = 10^{12*15} =10 ^{180} [/tex]
[tex] 4^{2} *8 ^{3} * 2^{5}*16=( 2^{2}) ^{2} *( 2^{3} )^{3} *2 ^{5} * 2^{4}=2 ^{2*2} *2^{3*3} *2^{5} *2 ^{4} =[/tex][tex] 2^{4} *2 ^{9} * 2^{5} * 2^{4} =2 ^{4+9+5+4} =2 ^{22} [/tex]