Question

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 ?

Answer 1

a+b=4
c=2

$( 2^{a} )^{c} * ( 2^{c} )^{b} =$
$2^{2*4}$
=$2^{a*c} * 2^{b*c} =$

=$2^{2a} * 2^{2b} =$

=$( 2^{2} )^{a} * ( 2^{2} )^{b} =$

=$( 2^{2} )^{a+b} =$

=$( 2^{2} )^{4} =$

=$2^{2*4}$=

=$2^{8} =256$