Simplify the expression using the Product of Powers Rule. The simplified form is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Product of Powers Rule to an expression with both positive and negative exponents. The rule states that when multiplying powers with the same base, you add their exponents.
Key Concept Explanation
The key concept is that the rule applies to both positive and negative exponents. In this case, the base is , and the exponents are 8, -4, and 2.
Step-by-step Solution
1. Identify the base and exponents: , , and .
2. Apply the Product of Powers Rule:
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