The United States Postal Service delivers about 2^8 ⋅ 5^2 pieces of mail each second. There are 2^8⋅3^4⋅5^2 seconds in 6 days. How many pieces of mail does the United States Postal Service deliver in 6 days? Write your answer as an expression involving three powers.
Key: ^ means the number that comes after is an exponent. For example: 4^9, 4 is the base and 9 is the exponent.