Answer:
First option: [tex]6*10^{-4}[/tex]
Step-by-step explanation:
The expression is:
[tex](6.3*10^{-2})(9.9*10^{-3})[/tex]
Scientific Notation (which is also known as "Standard form"), is a way to write numbers. It is very useful to handle very small numbers and very large numbers.
By definition, Scientific Notation has the following form:
[tex]a*10^n[/tex]
Where the coefficient "a" is a number from 1 to 10 without including 10, and the exponent "n" is an Integer.
Given:
[tex](6.3*10^{-2})(9.9*10^{-3})[/tex]
If you want to estimate the result, you can round the coefficients to the nearest whole number. Since the decimal point must be just after the first digit, you know that:
[tex](6*10^{-2})(10*10^{-3})=(6*10^{-2})(1*10^{-2})[/tex]
Now you need to remember the Product of powers properties:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, solving the multiplication, you get:
[tex]6*10^{-4}[/tex]
