Answer: 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 [tex]\sqrt{4}=2[/tex]. Therefore, it can be written as 2¹.
[tex]\frac{1}{4}[/tex] is the same as [tex]\frac{1}{2^2 }[/tex] because 2²=4. To make it not a fraction, we can flip it and change the exponent. [tex]\frac{1}{4}=2^-^2[/tex]
Now, we can put them together.
[tex]2^p=2^1*2^-^2[/tex] [multiply]
[tex]2^p=2^-^1[/tex]
Now, we know that p=-1.
