p=-1
Step-by-step explanation:
To find the value of p, we can manipulate the right side so that it looks like the left.
We know that
. Therefore, it can be written as 2¹.
is the same as
because 2²=4. To make it not a fraction, we can flip it and change the exponent. ![\frac{1}{4}=2^-^2](/tpl/images/2456/2362/1ee8e.png)
Now, we can put them together.
    [multiply]
![2^p=2^-^1](/tpl/images/2456/2362/04589.png)
Now, we know that p=-1.