Power Law - Which is Larger With Shared Factor in Exponent (Level 1)

This math topic focuses on comparing the magnitudes of numbers expressed with large exponents. It involves evaluating which of two given exponential expressions is larger, where base numbers and their exponents differ. Specific scenarios include comparing numbers such as \(11^{200}\) versus \(5^{300}\), or \(2^{5000}\) versus \(3^{3000}\). This topic is a part of a broader unit on negative, fractional, and power laws of exponents, helping students develop their skills in understanding and manipulating exponential expressions in various contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Power Law - Which is Larger With Shared Factor in Exponent

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which is larger?

53000 or 1120005^{3000} \text{ or } 11^{2000}

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