Algebra-1

Question Analysis
This question tests the application of the Product of Powers Rule in solving for variables in exponential equations.

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 equation:
2. Apply the Product of Powers Rule:
3. Set the exponents equal to each other: →
4. Find n: Given n is a positive integer and is a multiple of 3 less than 20, so the possible values of n are 3, 6, 9, 12, 15, 18.
5.Substitute each into equation and solve for m:
→ →
Check each:
, (Not integer)