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

Topic 23

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.

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

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Solve for the missing exponent (?)

(10^{3})^{8} = (10^{?})^{6}

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

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

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