Question

The United States Postal Service delivers about 2^4x3x5^3 pieces of mail each second. There are 2^8x3^4x5^2 seconds in six days. how many pieces of mail does the United States Postal Service deliver in six days? Write your answer as an expression involving three powers.

Answer 1

To find the number of pieces of mail the United States Postal Service delivers in six days, we multiply the number of pieces of mail delivered each second by the number of seconds in six days.

Step-by-step explanation:

To find the number of pieces of mail the United States Postal Service delivers in six days, we need to multiply the number of pieces of mail delivered each second by the number of seconds in six days.

The number of pieces of mail delivered each second is 2^4 * 3 * 5^3.

The number of seconds in six days is 2^8 * 3^4 * 5^2.

To find the total number of pieces of mail delivered in six days, we multiply these two expressions together: (2^4 * 3 * 5^3) * (2^8 * 3^4 * 5^2).

Simplifying this expression, we can add the exponents of the same base together: 2^(4+8) * 3^(1+4) * 5^(3+2), which equals 2^12 * 3^5 * 5^5.

So, the United States Postal Service delivers 2^12 * 3^5 * 5^5 pieces of mail in six days.