### Home > CALC > Chapter 6 > Lesson 6.1.2 > Problem 6-25

6-25.

Wei Kit is still looking for exponent shortcuts! Homework Help ✎

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}?Is 2

^{x}^{+3}proportional to 2? Explain why or why not.^{x}Use Wei Kit's method to rewrite 3

^{x−}^{2}and 5^{x}^{+4}.Does Wei Kit's method work on 3

^{2}^{x}^{ }? Why or why not?

2* ^{x}* · 2

^{3}= 2

*· 8*

^{x}Is there a constant you can multiply 2* ^{x}* by to get 2

^{x}^{ + 3}?

3^{2}* ^{x}* = (3

^{2})

*= ________.*

^{x}