Exponents - Power Law - Intro

32 Topics, 4 Skills

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

Topic 1

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

Topic 2

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

Topic 3

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

Topic 4

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

Topic 5

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

Topic 6

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

Topic 7

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

Topic 8

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

Topic 9

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

Topic 10

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

Topic 11

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

Topic 12

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

Topic 13

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

Topic 14

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

Topic 15

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

Topic 16

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

Topic 17

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

Topic 18

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

Topic 19

Power Law

Topic 20

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

Topic 21

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

Topic 22

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

Topic 23

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

Topic 24

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

Topic 25

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

Topic 26

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

Topic 27

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

Topic 28

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

Topic 29

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

Topic 30

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

Topic 31

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

Topic 32

Exponents - Power Law with Prime Base (Negatives, Exponent with Power to Fraction with Power) (Level 1)

Topic 31

This math topic focuses on the application of the power law for exponents, specifically involving negative exponents and prime bases. Problems require calculating the results of multiplying terms with powers, where bases are prime numbers like 2, 3, 5, 7, and 11, all raised to negative exponents. It tests the understanding of how multiplying terms with exponents results in adding the exponents and applying this to negative values, emphasizing the concept of reciprocal as seen in expressions like the inverse of a base raised to a positive power.

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

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

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

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Find the answer when these terms are multiplied

31313^{-1} \cdot 3^{-1}