### Home > APCALC > Chapter 6 > Lesson 6.1.2 > Problem6-25

6-25.

Wei Kit is still looking for ways to rewrite expressions with exponents!

1. Since $2^{5+3} = 2^5 · 2^3$, he thinks there is a way to simplify $2^{x+3}$ but needs your help. How can he rewrite $2^{x+3}$?

$2^x · 2^3 = 2^x · 8$

2. Is $2^{x+3}$ proportional to $2^x$? Explain why or why not.

Is there a constant you can multiply $2^x$ by to get $2^{x+3}$?

3. Use Wei Kit’s method to rewrite $3^{x-2}$ and $5^{x+4}$.

$\text{Recall that }3^{-2}=\frac{1}{3^{2}}=\frac{1}{9}$

4. Does Wei Kit’s method work on $3^{2x}$? Why or why not?

$3^{2x} = (3^2)^x =$ ________.