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Exponents - Power Law - Variable Exponent Base with Known Power to Power of Ten Base with Unknown Power (Level 1)

This math topic focuses on solving problems involving the power law of exponents. Specifically, students practice converting expressions with variable exponent bases and known powers to expressions with a base of ten and unknown powers. The problems typically involve finding the missing exponent in equalities where both sides have exponential forms but different bases, such as transforming expressions with base 10 raised to some power, to equivalent expressions with larger exponential bases like 100, 1000, or 10000. It is part of a broader unit covering negative, fractional, and power laws of exponents.

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

Power Law - Variable Exponent Base with Known Power to Power of Ten Base with Unknown Power

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Solve for the missing exponent (?)

(103)6=100?(10^{3})^{6} = 100^{?}