QQuestionMathematics
QuestionMathematics
Enter the correct answer in the box. Simplify the expression x^5 ⋅x^7 .
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Answer
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Step 1:I'll solve this step by step following the LaTeX formatting guidelines precisely:
Step 2:: Identify the Operation
When multiplying exponential terms with the same base, we add the exponents.
Step 3:: Apply the Exponent Multiplication Rule
x^{5} \cdot x^{7} = x^{5+7}
Step 4:: Simplify the Exponent
x^{5} \cdot x^{7} = x^{12}
Final Answer
Key Insights: - When multiplying exponential terms with the same base, add the exponents - The base remains unchanged - x^{a} \cdot x^{b} = x^{a+b} is a fundamental rule of exponent multiplication
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