Question

Find the value of P such that 2 ^p sqrt 4 x 1/4

Answer 1

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 $\sqrt{4}=2$. Therefore, it can be written as 2¹.

$\frac{1}{4}$ is the same as $\frac{1}{2^2 }$ because 2²=4. To make it not a fraction, we can flip it and change the exponent. $\frac{1}{4}=2^-^2$

Now, we can put them together.

$2^p=2^1*2^-^2$         [multiply]

$2^p=2^-^1$

Now, we know that p=-1.