Question

Qual o resultado, em Notação Científica?
A)5 x 10^10
B)1 x 10^7
C)5 x 10^9
D)1 x 10^8
E)5 x 10^11

Answer 1

Oie, Td Bom?!

>>> Resposta: opção A.

$\frac{9 \times 10 {}^{2} \times (30 \times 10 {}^{2} + 2 \times 10 {}^{3} ) {}^{2} }{3 \times 10 {}^{ - 5} \times \sqrt{22,5 \times 10 {}^{7} } }$

$\frac{3 \times 10 {}^{7} \times (3 \times 10 \times 10 {}^{2} + 2 \times 10 {}^{3} ) {}^{2} }{ \sqrt{ \frac{45}{2} \times 10 {}^{7} } }$

$\frac{3 \times 10 {}^{7} \times (3 \times 10 {}^{3} + 2 \times 10 {}^{3} ) {}^{2} }{ \sqrt{ \frac{45 \times 10 {}^{7} }{2} } }$

$\frac{3 \times 10 {}^{7} \times ((3 + 2) \times 10 {}^{3}) {}^{2} }{ \frac{ \sqrt{45 \times 10 {}^{7} } }{ \sqrt{2} } }$

$\frac{3 \times 10 {}^{7} \times (5 \times 10 {}^{3} ) {}^{2} }{ \frac{3 \times 10 {}^{3} \times \sqrt{5 \times 10} }{ \sqrt{2} } }$

$\frac{3 \times 1 0{}^{7} \times 5 {}^{2} \times (10 {}^{3}) {}^{2} }{ \frac{ 3 \times 10 {}^{3} \times \sqrt{50} }{ \sqrt{2} } }$

$\frac{3 \times 10 {}^{7} \times 25 \times 10 {}^{6} }{3 \times 10 {}^{3} \times \sqrt{25} }$

$\frac{3 \times 10 {}^{7} \times 2,5 \times 10 {}^{7} }{3 \times 10 {}^{3} \times 5}$

$\frac{7,5 \times 10 {}^{7 + 7} }{3 \times 10 {}^{3} \times 5}$

$\frac{ \frac{15}{2} \times 10 {}^{14} }{3 \times 10 {}^{ 3 } \times 5}$

$\frac{ \frac{15}{2} \times 10 {}^{11} }{3 \times 5}$

$\frac{ \frac{15 \times 10 {}^{11} }{2} }{15}$

$\frac{10 {}^{11} }{2}$

$\frac{100000000000}{2}$

$50000000000 = 5 \times 10 {}^{10}$

Att. Makaveli1996