Answer: n=-2
Step-by-step explanation:
Given
The length of the football field is [tex]300\ ft[/tex]
In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]
Also, [tex]5280\ ft=1\ mile[/tex] or
[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]
converting [tex]300\ ft[/tex] to miles
[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]
Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]
we get [tex]n=-2[/tex]
