I am new to scientific notation and I am a year ahead in math so this is kind of hard for me. So I think that the equation 30x10^-9 should be corrected to 3x10^-9. But I want to be able to show my work, and I don't know how to. I just need some guidance. By the way ^ means raised to (a power). Any help would be appreciated. Thanks!

The title of your post is different than the numbers in the body of your post, so I'm not sure what yuor question is. However, from the title:

30 \times 10^8 = 3 \times 10^1 \times 10^ 8 = 3 \times 10^9.

I don't see how you ended up with a -9 for the exponent. Remember that when multiplying numbers with exponents the exponents add, so for example 10^3 \times 10^{-7} = 10^{(3+\ -7)} = 10^{-4} . Using the numbers in the body of your post:

30 \times 10^{-9} = 3 \times 10^1 \times 10^{-9} = 3 \times 10^{-8}.

Oh sorry, typos. The original equation was 30x10^-8. I had to correct it to proper scientific notation, and I thought the answer was 3x10^-9. But I now see the answer is 3x10^-7. This makes sense when you lay it out. Thanks