Respuesta :
The number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.
What is the exponent power with base 10?
To write the big number in short form, we write them in the positive power of 10.
To write the very small number, we write them in the negative power of 10.
Tyler’s math class found that it would take 2.5×10^8 dollar bills to cover a square mile area.
The surface area of the United States is about 3.8×10^6 square miles.
To find the number of dollar bills are needed to cover the United States, we have to multiply 3.8×10^6 square miles with 2.5×10^8 dollar bills.
Let suppose it needed n dollar bills. Thus,
[tex]n=3.8\times10^6\times2.5\times10^8\\n=3.8\times2.5\times10^6\times10^8[/tex]
When the base is same in multiplication operation, add the power. Thus,
[tex]n=3.8\times2.5\times10^6\times10^8\\n=3.8\times2.5\times10^{6+8}\\n=9.5\times10^{14}[/tex]
Thus, the number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.
Learn more about the exponents with base 10 here;
https://brainly.com/question/18324331
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