1. **Restate the problem:** You want to understand step 3 where we rewrite the function $y = 300 \left(\frac{1}{2}\right)^{-\frac{x}{68}}$.
2. **Recall the exponent rule:** For any positive number $a$ and any real number $m$, $a^{-m} = \frac{1}{a^m}$.
3. **Apply the rule:** Here, $\left(\frac{1}{2}\right)^{-\frac{x}{68}} = \frac{1}{\left(\frac{1}{2}\right)^{\frac{x}{68}}} = 2^{\frac{x}{68}}$ because $\frac{1}{\left(\frac{1}{2}\right)^m} = 2^m$.
4. **Rewrite the function:** So,
$$
y = 300 \left(\frac{1}{2}\right)^{-\frac{x}{68}} = 300 \times 2^{\frac{x}{68}}
$$
5. **Explanation:** This shows the function as exponential growth with base 2 raised to the power $\frac{x}{68}$.
**Final answer:** Step 3 uses the negative exponent rule to rewrite the function as $y = 300 \times 2^{\frac{x}{68}}$ which is easier to interpret as growth.
Exponential Rewrite A20Ff9
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