Answer:
[tex]f(5)=2.048*10^{-7}[/tex]
Step-by-step explanation:
We have that [tex]f(x)=2x^{-10}[/tex], we want to find [tex]f(5)[/tex].
We can rewrite this function with positive index to get:
[tex]f(x)=\frac{2}{x^{10}}[/tex]
We need to substitute [tex]x=5[/tex] into the given function to get:
[tex]f(5)=\frac{2}{5^{10}}[/tex]
This implies that:
[tex]f(5)=\frac{2}{9765625}[/tex]
In scientific notation:
[tex]f(5)=2.048*10^{-7}[/tex]
