Question

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

Answer 1

Is the question to simplify\[\frac{4.5\times10^3}{9\times10^7}\]?

Answer 2

@Calcmathlete I have the same interpretation of the problem

Answer 3

yes it is

Answer 4

Ok, assuming that was the question, then you can simplify the problem by splitting up the division.
\[\frac{4.5 \times 10^3}{9 \times 10^9} \implies\frac{4.5}{9}\times\frac{10^3}{10^7}\]
At this point, you can perform the divisions separately. Do the \(\frac{4.5}{9}\) first, and use your exponent rules to simplify the right fraction. Then, just put the \(\times\) sign to indicate multiplication. Can you finish the problem from there?

Answer 5

hint 9 = 2*4.5

Answer 6

do i divide 4.5 from 9

Answer 7

the standard form for scientific notation is; a*10^n where a is between 0 and 10; n is an integer

Answer 8

Yes. Divide 4.5 and 9. \(4.5\div9 = ?\)

Answer 9

yes I am picky with math
add and subtract from
multiply and divide by

Answer 10

As @triciaal said above, once you get what 4.5/9 is, that will be the 'a' in the form posted.

Answer 11

0.5 then 1000/10000000

Answer 12

rule for exponents
when you multiply numbers with the same base add the powers
when you divide numbers with the same base subtract the powers

Answer 13

thank you that makes it less confusing

Answer 14

Ok, that's right so far. The 0.5 is correct. To get it into the scientific notation form, you have:
\(0.5\times10^n~~\)The next step would be to solve for what the n is. Do you remember your exponent rules?
\[\frac{10^a}{10^b} = 10^{a-b}\]