Question

The United States Postal Service delivers about 2⁴ * 3 * 5³ pieces of mail each second. There are 2⁸ x 3⁴ x 5² 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.

Answer 1

To get to the answer, we'll have to multiply the pieces of mail delivered each second by the amount of seconds in 6 days. This is,

`\begin{gathered} (2^4*3*5^3)*(2^8*3^4*5^2)^{} \\ \rightarrow2^4*3*5^3*2^8*3^4*5^2^{} \end{gathered}`

Using power properties,

`2^4*3*5^3*2^8*3^4*5^2\rightarrow2^(12)*3^5*5^5`

Therefore,

`2^(12)*3^5*5^5`

pieces of mail are delivered by the United States Postal Service in 6 days.