# How do you solve #4^(2p)=4^(-2p-1)#?

##### 3 Answers

Jul 28, 2018

#### Explanation:

Given equation

Comparing the powers on base

Jul 28, 2018

#### Explanation:

#"since both sides are expressed in base 4"#

#"we can equate the exponents"#

#2p=-2p-1#

#4p=-1rArrp=-1/4#

Jul 28, 2018

#### Explanation:

Since the bases are the same, we can equate the exponents. With this in mind, we now have:

Next, let's add

Lastly, we can divide both sides by

Hope this helps!