Exponents - Power Law - Practice

30 Topics

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

Exponent

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

This math topic focuses on solving for unknown exponents by applying the power law of exponents. Specifically, it practices converting expressions with an exponent base raised to a variable power into an equivalent form with a prime base raised to an unknown power. Each question revolves around simplifying the given expression to identify the missing exponent value in reduced form, reinforcing understanding of exponent manipulation and reduction techniques.

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

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

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

10

Solve for the missing exponent (?) in reduced form

(33)n=3?(3^{3})^{n} = 3^{?}

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