Question

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

Answer 1

Answer: p=-1

Explanation:

To find the value of p, we can manipulate the right side so that it looks like the left.

We know that
`√(4)=2`. Therefore, it can be written as 2¹.

`(1)/(4)` is the same as
`(1)/(2^2 )` because 2²=4. To make it not a fraction, we can flip it and change the exponent.
`(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.