Chapter 4 - Exponential Functions - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 145: 9

Yes, $K(x)=\frac{1}{3}\left(\frac{2}{3}\right)^x$

Use the fact that $\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$ to simplify the function to an exponential in the listed form. $$K(x)=\frac{1}{3}\left(\frac{2}{3}\right)^x$$