## Related questions with answers

Question

The United States Postal Service delivers about

$2 ^ { 8 } \cdot 5 ^ { 2 }$

pieces of mail each second. There are

$2 ^ { 8 } \cdot 3 ^ { 4 } \cdot 5 ^ { 2 }$

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 powers.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The total number of pieces delivered in 6 days is the number delivered each second ($2^8\cdot5^2$) times the number of seconds in 6 days ($2^8\cdot3^4\cdot5^2$). This gives:

$(2^8\cdot5^2)(2^8\cdot3^4\cdot5^2)=2^{8+8}\cdot3^4\cdot5^{2+2}=2^{16}\cdot3^4\cdot5^4$

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