# How do you determine if the equation y=0.4(1/3)^x represents exponential growth or decay?

##### 1 Answer
Jul 30, 2016

To check if ssuch equation is growth or decay you have to check the value of the base of the power.

#### Explanation:

An equation $y = a \times {b}^{x}$ represents:

• growth if ($a > 0$ and $b > 1$) or ($a < 0$ and b in (0;1))

• decay if ($a > 0$ and b in (0;1)) or (a<0 and b>1)