Question

descompuneti in factori primi numerele A si B si apoi scrieti in forma de putere produsul A*B :a)A=18siB=1260;b)A=1750siB=6750;c)A=24200siB=25860,d)A=24200siB=25860

Answer 1

a) A = 18 = $3^{2} *2$ 
B = 1260 = $2^{2} * 3^{2} *5*7$ 
A*B = $3^{2} * 2* 2^{2} * 3^{2} *5*7 = 3^{2+2} * 2^{2+1} *5*7 = 3^{4} * 2^{3} *5*7$ 
b) A = 1750 = $2* 5^{3} *7$
B = 6750 = $2* 3^{3} * 5^{3}$ 
A*B = $2* 5^{3}*7*2* 3^{3}* 5^{3} = 2^{2} * 3^{3} * 5^{6}*7$ 
c) A = 24200 = $2^{3} * 5^{2} *11^{2}$ 
B = 25860 = $2^{2} * 3*5*431$ 
A*B = $2^{3} * 5^{2} * 11^{2} * 2^{2} *3*5*431 = 2^{5} * 5^{3}* 11^{2}*3*431$
d) A = 24200 = $2^{3} * 5^{2} *11^{2}$ 
B = 25860 = $2^{2} * 3*5*431$ 
A*B = $2^{3} * 5^{2} * 11^{2} * 2^{2} *3*5*431 = 2^{5} * 5^{3}* 11^{2}*3*431$