+194 The United States Postal Service delivers about 2^8⋅5^2pieces 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.
The United States Postal Service delivers _______________ pieces of mail in 6 days.
2^8⋅5^2pieces of mail each second X 2^8⋅3^4⋅5^2 seconds in 6 days
=2^16. 3^4. 5^4 pieces of mail delivered in 6 days.
+118680 The United States Postal Service delivers about 28⋅52pieces of mail each second. There are 28⋅34⋅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.
The United States Postal Service delivers _______________ pieces of mail in 6 days.
\(We \;have\;\;\; \frac{2^8*5^2mail}{sec} \qquad and \quad \frac{2^8*3^4*5^2sec}{6 days} \qquad \\ and\;we \;want \quad \frac{mail}{6days}\\~\\ \mbox{You can use the units to help you, we want mail on the top and 6 days on the bottom.}\\ \frac{2^8*5^2mail}{sec}\times \frac{2^8*3^4*5^2sec}{6 days} \\ \mbox{The seconds cancel leaving you with}\\ =\frac{2^8*5^2mail}{1}\times \frac{2^8*3^4*5^2}{6 days} \\ \mbox{Don't get rid of the 6 you need it.}\\ =\frac{2^8*5^2*2^8*3^4*5^2mail}{6 days} \\ =\frac{2^{16}*5^4*3^4mail}{6 days} \\ =\frac{3,317,760,000 peices\;of\;mail}{6 days} \\ =3,317,760,000\; peices\;of\;mail\;in\;6\; days \)
