This math unit begins with foundational practices in the power laws of exponents, focusing initially on expressions where variables serve as the bases and are raised to positive powers. As students progress, they delve into more complex scenarios involving prime and composite bases, extending to situations with both positive and negative exponents, including fractional bases. The complexity increases as they engage in solving for unknown exponents in equations, where bases could be variable, known, or prime, and powers are further raised to another power. Throughout the unit, students hone skills in simplifying, multiplying, and manipulating expressions with exponents through a variety of problem settings, enhancing their proficiency in algebraic manipulation and understanding of exponent rules crucial for advanced mathematical concepts. The unit culminates in the application of these skills to solve for missing exponent values in expressions, demonstrating growth from basic exponentiation rules to solving complex exponential equations.
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Solve for the missing exponent (?) in reduced form