We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.
How to simplify the expression?
Remember the exponent property:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
Here we have the expression:
[tex]\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}[/tex]
We can reorder this to get:
[tex]\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}[/tex]
The right side can be simplified to:
[tex]\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}[/tex]
Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:
[tex]6.404*10^8[/tex]
Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).
If you want to learn more about scientific notation:
https://brainly.com/question/5756316
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