How do you write the answer in scientific notation given #(1.2times10^-4)^2/((9.0times10^5)(1.6times10^-8))#?
1 Answer
Explanation:
First we need to remember three properties of exponents:
1)
2)
3)
Using the first property on the top leaves us with:
Now, when you have an exponent raised to an exponent you multiply them, in this case getting
We can eliminate both
If we divide top and bottom by 2, 4 times, we get:
and
leaving our equation like this:
Now, we divide
Divide top and bottom by 9
and using the second property we can write:
Finally we can throw out the parenthesis and use the third property, adding the exponents on the 10's, leaving us with the final number: