The most reasonable value of n n = -2.
We have given that the length of the football field = 300 feet
It can also be expressed as approximately [tex]5.7\times 10^{n}miles[/tex]
Also, 1 mile = 5280 feet....(1)
We have to find 1 feet so divide both side of equation (1)by by 5280 we get,
[tex]1feet=\frac{1}{5280}[/tex]
Now, for 300 feet is,
[tex]300feet=\frac{1}{5280}(300)[/tex]
[tex]300 feet=0.056818181=0.057miles[/tex]
In scientific notation we have,
[tex]300 feet=5.7\times 10^{-2}miles[/tex]
Therefore we get n = -2.
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