Find Where Increasing/Decreasing y=(1/6)^x

$y = {(\frac{1}{6})}^{x}$

Simplify ${(\frac{1}{6})}^{x}$ .

Apply the product rule to $\frac{1}{6}$ .

$y = \frac{1^{x}}{6^{x}}$

One to any power is one.

$y = \frac{1}{6^{x}}$

Graph the equation in order to determine the intervals over which it is increasing or decreasing.

Always Decreasing