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daca a+b=4 si c=2 atunci calculati (2 la puterea a)totu la puterea c *(2 la puterea c)toto la puterea b! cum se face ?


Răspuns :

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]