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Exponents - Power Law - Composite Base with Variable Power to Prime Base with Unknown Power (Level 1)

This math topic focuses on solving for unknown exponents in equations involving powers, primarily working with expressions converting composite bases with variable exponents to prime bases. The problems require reducing the resultant exponents to simpler forms and selecting the correct answer from multiple choices. This requires understanding and application of powers and laws of exponents, essential skills for algebraic manipulation in higher mathematics. Each problem is presented with a mathematical expression and multiple potential answers, reinforcing exponent manipulation skills in a progressive manner.

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

Power Law - Composite Base with Variable Power to Prime Base with Unknown Power

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Solve for the missing exponent (?) in reduced form

25n=5?25^{n} = 5^{?}