HomePricing

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

This math topic focuses on applying the power law of exponents to solve for unknown powers. Students utilize algebraic methods to determine the exponent in equations where bases with variable and unknown powers are equated. Problems include converting expressions with multiple levels of exponentiation into their simplest forms and solving for the missing exponent values. The exercises involve recognizing and manipulating bases and their powers to establish equivalence between the two sides of an equation, enhancing students' algebraic proficiency and understanding of exponent rules.

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

Power Law - Exponent Base with Variable Power to Exponent Base with Unknown Power

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

0:00.0


Solve for the missing exponent (?) in reduced form

(34)n=(32)?(3^{4})^{n} = (3^{2})^{?}