Matemática, perguntado por MariaClaraXxX70, 11 meses atrás

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

Anexos:

Soluções para a tarefa

Respondido por Makaveli1996
2

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

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