a+b=4
c=2
[tex] ( 2^{a} )^{c} * ( 2^{c} )^{b} =[/tex]
[tex] 2^{2*4} [/tex]
=[tex] 2^{a*c} * 2^{b*c} =[/tex]
=[tex] 2^{2a} * 2^{2b} =[/tex]
=[tex] ( 2^{2} )^{a} * ( 2^{2} )^{b} =[/tex]
=[tex] ( 2^{2} )^{a+b} =[/tex]
=[tex] ( 2^{2} )^{4} =[/tex]
=[tex] 2^{2*4} [/tex]=
=[tex] 2^{8} =256[/tex]