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

Answer:

2^12x3^5x5^5

Step-by-step explanation:

- The problem gives us the pieces of mail delivered per second and the amount of seconds in six days, so to find the pieces of mail delivered in six days we need to multiply pieces per second by seconds in six days.

-The pieces of mail delivered per second is 2^4x3x5^3, and seconds in six days is 2^8x3^4x5^2, therefore we must multiply (2^4x3x5^3)x(2^8x3^4x5^2)

-When multiplying powers with the same base, you need to add the exponent, for example 2^4 has the same base as 2^8, so when multiplying 2^4 and 2^8, we would have a product of 2^12

-Repeat this process with the remaining powers:

-3x3^4=3^5

-5^3x5^2=5^5

-Write the expression with the three powers

2^12x3^5x5^5

lmk if I made any errors, hope this helped :)