Algebra-1

Question Analysis
This question tests the student's ability to solve exponential equations by converting both sides to the same base and then equating the exponents, with a focus on negative exponents.

Key Concept Explanation
The core principle is that if two exponential expressions with the same base are equal, their exponents must be equal. In this case, both and 81 can be expressed as powers of 3.

Step-by-step Solution
1. Rewrite and 81 as powers of 3: and .
2. Substitute these into the equation: .
3. Simplify the left side using the power of a power property:

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