Exponents - Fractional Bases and Exponents - Practice

38 Topics, 5 Skills

Negative Fractional Exponents with Integer Base - Explanation to Radical

Topic 1

Negative Fractional Exponents with Integer Base - Explanation to Radical

Topic 2

Negative Fractional Exponents with Integer Base - Explanation to Answer

Topic 3

Negative Fractional Exponents with Integer Base - Explanation to Answer

Topic 4

Negative Fractional Exponents with Square Integer Base - Exponent to Factored Exponent

Topic 5

Negative Fractional Exponents with Square Integer Base - Exponent to Factored Exponent

Topic 6

Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer

Topic 7

Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer

Topic 8

Negative Fractional Exponents with Square Integer Base - Exponent to Radical

Topic 9

Negative Fractional Exponents with Square Integer Base - Exponent to Radical

Topic 10

Negative Fractional Exponents with Square Integer Base - Exponent to Answer

Topic 11

Negative Fractional Exponents with Square Integer Base - Exponent to Answer

Topic 12

Negative Fractional Exponents with Non-Square Integer Base - Exponent to Factored Exponent

Topic 13

Negative Fractional Exponents with Non-Square Integer Base - Exponent to Factored Exponent

Topic 14

Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer

Topic 15

Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer

Topic 16

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

Topic 17

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

Topic 18

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

Topic 19

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

Topic 20

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

Topic 21

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

Topic 22

Fractional Exponents with Unit Fractional Base

Topic 23

Fractional Exponents with Unit Fractional Base

Topic 24

Fractional Exponents with Fractional Base

Topic 25

Fractional Exponents with Fractional Base

Topic 26

Negative Base

Topic 27

Fractional Exponents with Non-Square Integer Base - Exponent to Factored Exponent

Topic 28

Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer

Topic 29

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

Topic 30

Negative Unit Fraction Base (Expanded Fraction)

Topic 31

Negative Unit Fraction Base (Expanded Fraction)

Topic 32

Negative Fractional Base (Expanded Fraction)

Topic 33

Negative Fractional Base (Expanded Fraction)

Topic 34

Negative Fractional Base

Topic 35

Negative Fractional Base

Topic 36

Negative Unit Fraction Base

Topic 37

Negative Unit Fraction Base

Topic 38

Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Factored Radical (Level 2)

Topic 20

This math topic focuses on the practice of simplifying negative fractional exponents with non-square integer bases into radical expressions with factored bases. The problems involve converting expressions like those raised to the power of \(-\frac{1}{2}\) or \(-\frac{1}{3}\) into their radical counterparts, making sure to factorize the base correctly and then express them in radical form. It includes multiple choices for each expression, allowing users to select the correct factorization and radical representation. The topic falls under a broader unit of negative bases and exponents practice.

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

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

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


Factor this exponent's base number and express it as a radical

72(12)72^{(\frac{-1}{2})}