Exponents - Power Law - Practice

30 Topics, 4 Skills

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

Topic 1

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

Topic 2

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

Topic 3

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

Topic 4

Power Law - Prime Base with Variable Power to Composite Base with Unknown Power

Topic 5

Power Law - Composite Base with Variable Power to Prime Base with Unknown Power

Topic 6

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

Topic 7

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

Topic 8

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

Topic 9

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

Topic 10

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

Topic 11

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

Topic 12

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

Topic 13

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

Topic 14

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

Topic 15

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

Topic 16

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

Topic 17

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

Topic 18

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

Topic 19

Power Law - Ten Base with Variable Power to Power of Ten Base with Unknown Power

Topic 20

Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power

Topic 21

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

Topic 22

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

Topic 23

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

Topic 24

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

Topic 25

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

Topic 26

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

Topic 27

Power Law - Power of Ten Base with Variable Power to Power of Ten Base with Unknown Power

Topic 28

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

Topic 29

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

Topic 30

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

Topic 4

This math topic focuses on solving for unknown exponents using the Power Law. The problems involve rewriting expressions of exponentiated variables raised to particular powers and equating them to the same bases with unknown exponents. Students are tasked with finding these unknown exponents through simplification and application of exponent rules, specifically involving powers raised to other powers (i.e., \((b^n)^m = b^{n \cdot m}\)), and expressing the results in reduced form. Multiple choices for the correct exponent expressions are provided for each question. This set of problems is an introductory exercise in manipulating and understanding powers in algebraic contexts.

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

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

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

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

Practice:

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