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

This math topic focuses on applying the power law of exponents. The specific area covered involves changing the base of exponents to solve for an unknown power when the bases are powers of ten (such as 100, 1000, and 10000). Each problem provides an equation involving bases of ten raised to given powers, equivalent to another base of ten raised to an unknown power. Participants are tasked to determine the unknown exponent. The problems offer multiple-choice answers, enhancing understanding in manipulating exponents within the framework of base-ten numbers. It's tailored towards strengthening skills in negative, fractional, and power laws of exponents.

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

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

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Solve for the missing exponent (?)

100006=1000?10000^{6} = 1000^{?}