Question

Dados a= (10^2 .10)^7 / (10^4) ^5 e b = [4^7.4^10.4]^2 / (4^5)^7 , determine o valor da soma a +b . Obs : ^ = elevado , / : divisão

Answer 1

$<var>a = \frac{(10^{2}\cdot10)^{7}}{(10^{4})^{5}} = \frac{10^{14}\cdot10^{7}}{10^{20}} = \frac{10^{14 + 7}}{10^{20}} = \frac{10^{21}}{10^{20}} = 10^{21-20} = 10 \\ \\b = \frac{(4^{7}\cdot 4^{10}\cdot 4)^{2}}{(4^{5})^{7}} = \frac{4^{14}\cdot 4^{20}\cdot 4^{2}}{4^{35}} = \frac{4^{14 + 20 + 2}}{4^{35}} = \frac{4^{36}}{4^{35}} = 4^{36 - 35} = 4 \\ \\a + b = 10 + 4 = 14</var>$