# If 2^x = 3, what does 4^(-x) equal?

Jul 16, 2016

$\frac{1}{9}$

#### Explanation:

you can write:

${4}^{- x} = {2}^{2 \left(- x\right)} = {2}^{x \left(- 2\right)}$

and, if you put 3 in ${2}^{x}$:

$= {3}^{- 2} = \frac{1}{9}$