Question

Sendo a= 2⁵.5⁷.11², b= 3².5².11 e c=2³.5⁹.11³, calcule a.b÷c

Answer 1

Resposta:

$36$

Explicação passo a passo:

Maneira nº 1

$a=2^{5} .5^{7} .11^{2} =(32).(78125).(121)=302500000,00$

$b=3^{2} .5^{2} .11} =(9).(25).(11)=2475,00$

$c=2^{3} .5^{9} .11^{3} =(8).(1953125).(1331)=20796875000,00$

$\frac{a.b}{c} =\frac{(302500000).(2475)}{20796875000} =36$

Maneira nº 2

$\frac{a.b}{c} =\frac{(2^{5} .5^{7} .11^{2})}{(2^{3} .5^{9} .11^{3}} .(3^{2} .5^{2} .11)$

$\frac{a.b}{c} =\frac{(2^{2})}{(5^{2} .11)} .(3^{2} .5^{2} .11)$

$\frac{a.b}{c} =2^{2} .\frac{(3^{2} .5^{2} .11)}{(5^{2} .11)}$

$\frac{a.b}{c} =(2^{2}) .(3^{2})$

$\frac{a.b}{c} =(4 ).(9)=36$