Power Law - Which is Larger With Shared Factor in Exponent (Level 2)

This math topic focuses on practicing the Power Law of exponents. Specifically, it includes problems that require determining which of two expressions with exponents is larger when they feature a shared exponent factor. The problems are designed to enhance understanding of exponents involving negative, fractional, and power law calculations. Alongside direct comparison, the expressions involve varying bases raised to significant powers, emphasizing numerical comparison and exponent manipulation skills.

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Power Law - Which is Larger With Shared Factor in Exponent


Which is larger?

255 or 3332^{55} \text{ or } 3^{33}

?