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

This topic focuses on practicing the Power Law of exponents, specifically dealing with equations where both bases and exponents involve variables or calculations. The objective is to solve for missing exponents when given equations with composite bases and variable powers compared to an unknown exponent base with a known power. Multiple choice answers are provided, which require manipulation and simplification of exponential expressions to find the correct missing exponents in reduced form.

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

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Solve for the missing exponent (?) in reduced form

4n=(2?)64^{n} = (2^{?})^{6}