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

Find the value of P such that 2 ^p sqrt 4 x 1/4-example-1
User Hagen
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1 vote

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.

User Sinek
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