leahgobrien leahgobrien
  • 20-07-2019
  • Mathematics
contestada

(4.0 •10^6) divided by (5.0•10^9) in scientific notation

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luisejr77
luisejr77 luisejr77
  • 20-07-2019

Answer: [tex]8.0*10^{-4}[/tex]

Step-by-step explanation:

You need to remember the Quotient of powers property:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then, given the expression:

[tex]\frac{(4.0*10^6)}{(5.0*10^9)}[/tex]

You must divide the coefficients and subtract the exponents. Then:

[tex]=0.8*10^{-3}[/tex]

In order to write this result in Scientific notation form, you need to move the decimal point one place to the right. Therefore, you get:

[tex]=8.0*10^{-4}[/tex]

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