Simplify the expression(where). If the simplified result equals, then________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the Product of Powers Rule and their ability to solve for a variable in an exponential equation.
Key Concept Explanation
The Product of Powers Rule states that when multiplying two or more powers with the same base, you add their exponents. For any non-zero number and integers , , .
Step-by-Step Solution
1. Start with the given equation:
2. Apply the Product of Powers Rule:
3. Simplify the exponent:
4. Set the simplified expression equal to the given result:
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