SOLUTION: Hello, I have been trying to figure out this question and I just don't really understand how I can slove it andwrite it in scientic form. Question is (4.4 * 10 ^-19) ( 7.7 * 10 ^

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I have been trying to figure out this question and I just don't really understand how I can slove it andwrite it in scientic form. Question is (4.4 * 10 ^-19) ( 7.7 * 10 ^      Log On


   



Question 485802: Hello, I have been trying to figure out this question and I just don't really understand how I can slove it andwrite it in scientic form.
Question is (4.4 * 10 ^-19) ( 7.7 * 10 ^-1)

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Scientific notation has the form:

%28A_number_between_1_and+10_inclusive_of_1_and_exclusive_of_10%29%22%D7%2210%5E%28%28integer_exponent%29%29

(4.4×10-19)(7.7×10-1)

Multiply the 4.4 by the 7.7 getting 33.88
Add the exponents of 10, (-19)+(-1) getting -20

That gives 

33.88×10-20

but that is not in scientific notation because
33.88 is not between 1 and 10.  So we write it 
in scientific notation as 3.388×101 and substitute
that for 33.88:

(3.388×101)×10-20

3.388×101×10-20

finally add the exponents of 10, (1)+(-20) getting -19 

3.388×10-19

Edwin