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

This math topic focuses on solving for missing exponents in expressions where bases and some exponents are variables or known values. Problems involve manipulating expressions using the power law of exponents, which help in solving for unknown exponents when equalities are given. Each question requires reducing the result to its simplest form. This topic is a part of an introductory unit on power laws of exponents, aiming to strengthen understanding of basic exponentiation rules and their applications.

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

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

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Solve for the missing exponent (?) in reduced form

(2n)9=8?(2^{n})^{9} = 8^{?}