Evaluate $$ y=\left(\frac{1}{5}\right)^{x} $$, when $$ x=4 $$

Question

UpStudy AI · Accepted Answer

To evaluate the function $$ y = \left(\frac{1}{5}\right)^x $$ at $$ x = 4 $$, follow these steps:

1. **Substitute $$ x = 4 $$ into the equation:**

$$
   y = \left(\frac{1}{5}\right)^4
   $$

2. **Calculate the exponent:**

$$
   \left(\frac{1}{5}\right)^4 = \frac{1^4}{5^4} = \frac{1}{625}
   $$

3. **Convert the fraction to a decimal (optional):**

$$
   \frac{1}{625} = 0.0016
   $$

**Final Answer:**

$$
y = \frac{1}{625} \quad \text{or} \quad y = 0.0016
$$
$$ y = \frac{1}{625} $$ or $$ y = 0.0016 $$

Evaluate \( y=\left(\frac{1}{5}\right)^{x} \), when \( x=4 \)