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Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.

2 Answers

4 votes

Answer:

The required solution is
((4.5 * 10^3))/((9 * 10^7))=5* 10^(-5)

Explanation:

Given : Quotient
((4.5 * 10^3))/((9 * 10^7))

To find : Simplify the quotient and write your answer in scientific notation?

Solution :

The given quotient is
((4.5 * 10^3))/((9 * 10^7))

We know,
(x^a)/(x^b)=x^(a-b)

Now, we solve the quotient


=((4.5 * 10^(3-7)))/(9)


=0.5 * 10^(-4)

The resultant in the scientific notation is
=5 * 10^(-5)

So, The required solution is
((4.5 * 10^3))/((9 * 10^7))=5* 10^(-5)

User Jacques Bronkhorst
by
8.1k points
1 vote
To answer the problem above, divide the numerical portion and the exponential portion of the given numbers. 4.5 divided by 9 is 0.5. Furthermore, 10^3 divided by 10^7 is 10^-4. The answer is

0.5 x 10^-4

This may still be written in a standard form,

5 x 10^-5

Thus, the answer is 5 x 10^-5.

User FaneDuru
by
8.1k points

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