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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.

Sagot :

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,

[tex]\begin{gathered} (2^4\times3\times5^3)\times(2^8\times3^4\times5^2)^{} \\ \rightarrow2^4\times3\times5^3\times2^8\times3^4\times5^2^{} \end{gathered}[/tex]

Using power properties,

[tex]2^4\times3\times5^3\times2^8\times3^4\times5^2\rightarrow2^{12}\times3^5\times5^5[/tex]

Therefore,

[tex]2^{12}\times3^5\times5^5[/tex]

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

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