HomePricing

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

This math topic focuses on solving for unknown exponents within power equations involving exponents of 10. Each problem requires students to manipulate and simplify expressions using the power law, which involves taking a power of a power or applying exponent rules. The practice covers scenarios where the base remains constant (10), while the powers change based on multiplying exponents. The main goal is to equate the expressions on both sides of the equation by finding the appropriate missing exponent. This set of problems is a part of a broader unit on exponents that includes negative, fractional, and power law exponents.

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

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

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

0:00.0


Solve for the missing exponent (?)

(104)6=(10?)12(10^{4})^{6} = (10^{?})^{12}