Simplify the expression by applying the product rule. The simplified form is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the product rule for exponents, specifically when there are coefficients involved. The problem requires the student to multiply the coefficients and add the exponents of the same base.
Key Concept Explanation
The product rule for exponents states that when multiplying powers with the same base, you add the exponents. In this case, the base is and the exponents are 7 and 2. Additionally, the coefficients 6 and 3 must be multiplied.
Step-by-step Solution
1. Multiply the coefficients:
2. Apply the product rule for exponents:
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