Power Law - Which is Larger With Shared Factor in Exponent (Level 3)

This math topic focuses on applying the power law of exponents to determine which of two exponential expressions is larger when they share a common factor in their exponents. It involves problems that require comparing values of exponential functions with different bases and exponents. These problems enhance understanding of how exponential growth rates vary with changes in base and exponent, providing practice in evaluating and analyzing exponential expressions critically. This topic is part of a broader unit covering negative, fractional, and power law aspects of exponents.

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Power Law - Which is Larger With Shared Factor in Exponent

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Which is larger?

2385 or 32312^{385} \text{ or } 3^{231}

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