How large is the current U.S. depth and the trade deficit in exponential notation?

depth or national debt?

The first thing you need to do is find the numbers.

For the debt, see http://www.brillig.com/debt_clock/

For the trade deficit, see the monthly and year-to-date numbers at
http://www.americaneconomicalert.org/ticker_home.asp

They may want you to add up the last 12 months for the annual trade deficit.

The convert to scientific (exponential) notation. I assume you know how to do that