Exponents - Negative, Fractional, and Power Law

55 Topics, 5 Skills

Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical

Topic 1

Negative Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical

Topic 2

Negative Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical

Topic 3

Negative Fractional Exponents with Fractional Base

Topic 4

Negative Fractional Exponents with Fractional Base

Topic 5

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

Topic 6

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

Topic 7

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

Topic 8

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

Topic 9

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

Topic 10

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

Topic 11

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

Topic 12

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

Topic 13

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

Topic 14

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

Topic 15

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

Topic 16

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

Topic 17

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

Topic 18

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

Topic 19

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

Topic 20

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

Topic 23

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

Topic 24

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

Topic 25

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

Topic 26

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

Topic 27

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

Topic 28

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

Topic 29

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

Topic 32

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

Topic 33

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

Topic 34

Power Law

Topic 35

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

Topic 36

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

Topic 37

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

Topic 38

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

Topic 39

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

Topic 40

Negative Exponents, Negative Base

Topic 41

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

Topic 42

Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power

Topic 43

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

Topic 44

Negative Exponents

Topic 45

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

Topic 46

Power Law - Ten Base with Variable Power to Power of Ten Base with Unknown Power

Topic 47

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

Topic 48

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

Topic 49

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

Topic 50

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

Topic 51

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

Topic 52

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

Topic 53

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

Topic 54

Power Law - Power of Ten Base with Variable Power to Power of Ten Base with Unknown Power

Topic 55

Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent) (Level 1)

Topic 33

This math topic focuses on practicing exponentiation, specifically the application of the power law with a composite base. It involves calculating expressions where an exponent is raised to another power, such as \((a^m)^n\). The problems offered in this topic challenge students to simplify such expressions correctly to their simplest form, as exemplified by tasks like calculating \((4^2)^4\) or \((121^5)^2\). Each question provides multiple-choice answers, requiring students to select the correct simplified result. The content is part of an introductory unit on exponent laws.

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

View Unit

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

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

Find the answer when this term is raised to its exponent

(25^{3})^{3}

Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent) (Level 1)

Practice:

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