# How do you find p(-2) if p( n ) = 2^ { n }?

Sep 2, 2017

$p \left(- 2\right) = \frac{1}{4}$

#### Explanation:

We need to put -2 in for n to figure out what $p \left(- 2\right)$ is:

$p \left(- 2\right) = {2}^{- 2}$

When you raise a number to a negative exponent, you flip the number into its reciprocal and make the exponent positive.

$p \left(- 2\right) = {2}^{- 2} = \frac{1}{2} ^ 2 = \frac{1}{4}$