# 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: