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Exponents - Multiplication and Division - Advanced

40 Topics, 5 Skills

Multiplication - Positive by Negative to Negative

Topic 1

Multiplication - Positive by Negative to Negative

Topic 2

Division - Negative by Negative to Negative Fraction

Topic 3

Division - Negative by Negative to Negative Fraction

Topic 4

Multiplication - Negative by Negative to Negative

Topic 5

Multiplication - Negative by Negative to Negative

Topic 6

Division - Negative by Negative to Positive

Topic 7

Division - Negative by Negative to Positive

Topic 8

Power Law with Variable Base (Positives, Exponent with Power to Exponent)

Topic 9

Power Law with Variable Base (Negatives, Exponent with Power to Fraction with Power)

Topic 10

Power Law with Variable Base (Negatives, Fraction with Power to Exponent)

Topic 11

Power Law with Prime Base (Positives, Exponent with Power to Exponent)

Topic 12

Power Law with Prime Base (Negatives, Exponent with Power to Exponent)

Topic 13

Power Law with Prime Base (Negatives, Exponent with Power to Fraction with Power)

Topic 14

Power Law with Prime Base (Negatives, Fraction with Power to Exponent)

Topic 15

Power Law with Composite Base (Positives, Exponent with Power to Exponent)

Topic 16

Power Law with Composite Base (Negatives, Exponent with Power to Exponent)

Topic 17

Power Law

Topic 18

Power Law with Composite Base (Negatives, Fraction with Power to Exponent)

Topic 19

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

Topic 20

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

Topic 21

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

Topic 22

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

Topic 23

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

Topic 24

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

Topic 25

Power Law with Variable Base (Positives, Expanded to Exponent)

Topic 26

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

Topic 27

Power Law with Variable Base (Negatives, Expanded Fraction to Fraction with Power)

Topic 28

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

Topic 29

Power Law with Prime Base (Positives, Expanded to Exponent)

Topic 30

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

Topic 31

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

Topic 32

Power Law with Prime Base (Negatives, Expanded Fraction to Fraction with Power)

Topic 33

Power Law with Composite Base (Positives, Expanded to Exponent)

Topic 34

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

Topic 35

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

Topic 36

Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power)

Topic 37

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

Topic 38

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

Topic 39

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

Topic 40

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

Topic 27

This math topic focuses on practicing the Power Law of exponents involving calculations with variable bases raised to given powers equated to the same bases raised to unknown powers. The problems require solving for missing exponents represented by a '?'. Each problem is structured with multiple choice answers, varying expressions for the potential value of the questioned exponent, challenging the student to apply exponent rules properly to find the correct simplified expression. This is part of a broader introduction to exponentiation rules, targeting fundamental algebraic skills in handling powers and exponents.

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

View Unit

Power Law - Variable Exponent Base with Known Power to Exponent 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

(4n)6=(42)?(4^{n})^{6} = (4^{2})^{?}