### Home > PC > Chapter 6 > Lesson 6.1.3 > Problem 6-46

6-46.

Change the 27 and the 9 to numbers with base 3.

Use the power to a power property of exponents.

*f*(*x*) = 3^{3}(3)^{x}^{ − 2}

Use the multiplication property of exponents.

*f*(*x*) = (3)^{3 + }^{x}^{ − 2}

Simplify.

*f*(*x*) = (3)^{x}^{ + 1}

Put in the *ab ^{x}* form.

*f*(*x*) = 3(3)^{x}