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  • 15-02-2019
  • Mathematics
contestada

find 4.5×10^7 over 1.5×10^-8 . write answer in scientific notation.

Respuesta :

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  • 15-02-2019

Answer:

[tex]\large\boxed{\dfrac{4.5\times10^7}{1.5\times10^{-8}}=3\times10^{15}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\times10^k\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}[/tex]

We have:

[tex]\dfrac{4.5\times10^7}{1.5\times10^{-8}}=\dfrac{4.5}{1.5}\times\dfrac{10^7}{10^{-8}}[/tex]

Use

[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

[tex]=3\times10^{7-(-8)}=3\times10^{7+8}=3\times10^{15}[/tex]

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