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Step 1:I'll solve this step by step using the proper LaTeX formatting:
Step 2:: Identify the Base and Exponents
- Second term: $$x^{4}
- First term: x^{2}
Step 3:: Apply Exponent Multiplication Rule
- The rule is: $$x^{a} \cdot x^{b} = x^{a+b}
- When multiplying terms with the same base, we add the exponents
Step 4:: Add the Exponents
- $$x^{2} \cdot x^{4} = x^{2+4}
- = x^{6}
Final Answer
Key Insights: - When multiplying powers with the same base, add the exponents - This works for any base and any real number exponents - The base remains unchanged, only the exponent changes
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