a certain galaxy

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by [email protected] » Sun Feb 21, 2016 8:43 pm
Hi didieravoaka,

This question is really just about simplifying a fraction. You can either write the given numbers in Scientific Notation OR you can write out all of the zeroes and cancel them out.

Based on the information in the prompt, we're asked to simplify the following fraction:

(4 x 10^11)/(50,000,000)

We can rewrite the denominator as: (5 x 10^7)...

(4 x 10^11)/(5 x 10^7)

Now we can simplify the Scientific Notation....

(4 x 10^4) /(5) =

40,000/5 = 8,000

Final Answer: C

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by Matt@VeritasPrep » Thu Mar 03, 2016 1:21 am
We know the ratio is 1/50,000,000, so we can say that

1/50,000,000 = x/(4*10¹¹)

Cross multiplication gives

4*10¹¹ = 50,000,000x

or

4*10¹¹ = 5*10�*x

or

4*10� = 5x

or

40,000 = 5x

or

8,000 = x