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

Topic 2

This math topic focuses on solving for unknown exponents in equations involving prime bases raised to variable powers, which themselves are raised to fixed powers. Each problem presents an equation where students are asked to find the correct expression for the missing exponent in its reduced form. The provided equations challenge students to apply their understanding of the properties of exponents, particularly the power of a power rule, to simplify and solve for the unknown values effectively. The problems increase in complexity, offering several potential answers to select from, enhancing skill in both exponent rules and algebraic manipulation.

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

View Unit

Power Law - Prime 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 (?) in reduced form

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