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dlinn [17]
3 years ago
11

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

Mathematics
2 answers:
marishachu [46]3 years ago
5 0
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 <em>5 x 10^-5</em>. 
                                    
nordsb [41]3 years ago
4 0

Answer:

The required solution is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}=5\times 10^{-5}

Step-by-step explanation:

Given : Quotient  \frac{(4.5 \times 10^3)}{(9 \times 10^7)}

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

Solution :

The given quotient is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}

We know, \frac{x^a}{x^b}=x^{a-b}

Now, we solve the quotient

=\frac{(4.5 \times 10^{3-7})}{9}

=0.5 \times 10^{-4}

The resultant in the scientific notation is =5 \times 10^{-5}

So, The required solution is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}=5\times 10^{-5}

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