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Exponents

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.

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

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Exponents - Power Law - Which is Larger With Shared Factor in Exponent Worksheet

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Math worksheet on 'Exponents - Power Law - Which is Larger With Shared Factor in Exponent (Level 2)'. Part of a broader unit on 'Exponents - Negative, Fractional, and Power Law' Learn online: app.mobius.academy/math/units/exponents_negatives_fractions_and_power_law/
1
A LaTex expression showing 3 to the power of 90 \text{ or } 5 to the power of 60
Which is larger?
a A LaTex expression showing 3 to the power of 90
b A LaTex expression showing 5 to the power of 60
2
A LaTex expression showing 3 to the power of 66 \text{ or } 2 to the power of 99
Which is larger?
a A LaTex expression showing 2 to the power of 99
b A LaTex expression showing 3 to the power of 66
3
A LaTex expression showing 5 to the power of 120 \text{ or } 3 to the power of 180
Which is larger?
a A LaTex expression showing 3 to the power of 180
b A LaTex expression showing 5 to the power of 120
4
A LaTex expression showing 5 to the power of 120 \text{ or } 11 to the power of 80
Which is larger?
a A LaTex expression showing 11 to the power of 80
b A LaTex expression showing 5 to the power of 120
5
A LaTex expression showing 5 to the power of 150 \text{ or } 11 to the power of 100
Which is larger?
a A LaTex expression showing 5 to the power of 150
b A LaTex expression showing 11 to the power of 100
6
A LaTex expression showing 5 to the power of 99 \text{ or } 2 to the power of 231
Which is larger?
a A LaTex expression showing 5 to the power of 99
b A LaTex expression showing 2 to the power of 231
7
A LaTex expression showing 3 to the power of 180 \text{ or } 5 to the power of 120
Which is larger?
a A LaTex expression showing 5 to the power of 120
b A LaTex expression showing 3 to the power of 180