Evaluate $$ y=\left(\frac{1}{5}\right)^{x} $$ when $$ x=-3 $$

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To evaluate $$ y = \left(\frac{1}{5}\right)^{x} $$ when $$ x = -3 $$, follow these steps:

1. **Substitute the value of $$ x $$ into the equation:**
   $$
   y = \left(\frac{1}{5}\right)^{-3}
   $$

2. **Understand the negative exponent:**
   
   A negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore:
   $$
   \left(\frac{1}{5}\right)^{-3} = \left(\frac{5}{1}\right)^{3} = 5^{3}
   $$

3. **Calculate $$ 5^{3} $$:**
   $$
   5^{3} = 5 \times 5 \times 5 = 125
   $$

4. **Final Answer:**
   $$
   y = 125
   $$

**Therefore, when $$ x = -3 $$, the value of $$ y $$ is $$ 125 $$.**
When $$ x = -3 $$, $$ y = 125 $$.

Evaluate \( y=\left(\frac{1}{5}\right)^{x} \) when \( x=-3 \)

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