Question: User: 8
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2^7 = 2^n
1. **State the problem:** Solve for $n$ in the equation $$2^7 = 2^n$$.
2. **Recall the rule:** When the bases are the same and nonzero, if $$a^x = a^y$$ then $$x = y$$.
3. **Apply the rule:** Since the bases are both 2, we set the exponents equal:
$$7 = n$$
4. **Conclusion:** The value of $n$ is 7.