Question:

Given \( x>1 \).

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When comparing exponential expressions, simplify both quantities first and then compare their results.
Updated On: Sep 30, 2025
  • Quantity A is greater.
  • Quantity B is greater.
  • The two quantities are equal.
  • The relationship cannot be determined from the information given.
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The Correct Option is C

Solution and Explanation

We are given \( x>1 \), and we need to compare \( x(x^2)^4 \) and \( (x^3)^3 \). Simplifying both expressions: For Quantity A: \[ x(x^2)^4 = x \cdot x^8 = x^9 \] For Quantity B: \[ (x^3)^3 = x^9 \] Since both quantities are equal, the answer is (C).
Final Answer: \[ \boxed{\text{The two quantities are equal.}} \]
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