Natdreamurr Natdreamurr
  • 01-11-2018
  • Mathematics
contestada

What is the value of 1.6x10^14/3.2x10^7 in scientific notation?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-11-2018

1.6x10^14/3.2x10^7

divide the numbers  subtract the exponents

(1.6 /3.2) * 10^(14-7)

.5 * 10^7

now scientific notation has 1 number before the decimal  move the number, decrease the exponent

5 * 10^6

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gmany
gmany gmany
  • 12-11-2018

The scientific notation:

[tex]a\cdot10^k[/tex] where [tex]1\leq a < 10[/tex] and [tex]k\in\mathbb{Z}[/tex]

We have:

[tex]\dfrac{1.6\cdot10^{14}}{3.2\cdot10^7}=\dfrac{1.6}{3.2}\cdot10^{14-7}=\dfrac{16}{32}\cdot10^7=\dfrac{1}{2}\cdot10^7=\dfrac{1}{2}\cdot10\cdot10^6=\boxed{5\cdot10^6}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Answer Link

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