Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.
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.
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 \(\frac{(4.5 \times 10^3)}{(9 \times 10^7)}=5\times 10^{-5}\)