How do you divide #(3.0 x 10^4)/ (7 x 10^-7) #?
I believe the question is about simplifying the number written as
(it's a sign of multiplication, not a variable
The answer is (approximately)
It is an approximate value because a rational number
Now about why the answer is as specified above.
It's all about exponents. Negative exponent is used as a replacement for multiplicative inverse numbers (multiplicative inverse of
It's not just a syntactical convenience, there is a very good mathematical reason for this representation based on the rules of multiplication of numbers expressed as exponents with the same base:
You can learn the details of how to deal with exponential functions at Unizor by following the menu items Algebra and Exponential Functions.
Using the above mention rule about negative exponents, you can replace
which, in turn, using the rule of multiplication of exponential numbers with the same base
All we have to do next is to represent
where the parenthesis are used to specify a periodical decimal fraction.