To find the values of exponential functions, we simply substitute the given value of x into the given expression.
For x = 0,
[tex](\frac{2}{3})^0=1[/tex]Remember that any number, except for zero, raised to zero is equal to 1.
Next, for x = 2,
[tex](\frac{2}{3})^2=\frac{2^2}{3^2}=\frac{4}{9}[/tex]Finally, for x = 4,
[tex](\frac{2}{3})^4=\frac{2^4}{3^4}=\frac{16}{81}[/tex]Therefore, the answers are:
d = 1
e = 4/9
f = 16/81
