Exponents - Negative and Fractional Bases and Exponents

29 Topics, 5 Skills

Negative Exponents (to Fraction Exponent Form)

Topic 1

Negative Exponents, Negative Base (to Fraction Exponent Form)

Topic 2

Negative Exponents

Topic 3

Negative Exponents, Negative Base

Topic 4

Negative Fractional Base

Topic 5

Negative Fractional Base

Topic 6

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

Topic 7

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

Topic 8

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

Topic 9

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

Topic 10

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

Topic 11

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

Topic 12

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

Topic 13

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

Topic 14

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

Topic 15

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

Topic 16

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

Topic 17

Negative One Exponents with Unit Fractional Base

Topic 18

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

Topic 19

Negative One Exponents with Unit Fractional Base

Topic 20

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

Topic 21

Negative Fractional Exponents with Unit Fractional Base

Topic 22

Negative One Exponents with Fractional Base

Topic 23

Negative Fractional Exponents with Unit Fractional Base

Topic 24

Negative One Exponents with Fractional Base

Topic 25

Fractional Base

Topic 26

Negative Fractional Exponents with Fractional Base

Topic 27

Fractional Base

Topic 28

Negative Fractional Exponents with Fractional Base

Topic 29

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

Topic 12

This math topic focuses on the skill of expressing non-square integer bases with fractional exponents as factored radicals. It covers both square root and cube root cases. Problems involve factoring the base number of an expression, then writing the expression in radical form. The examples given include integers elevated to fractional powers, and students are required to choose the correct factored radical form among multiple options. This set of exercises emphasizes the understanding of fractional exponents and their relationship with radicals, enhancing fluency in managing expressions involving powers and roots.

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

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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

75(12)75^{(\frac{1}{2})}
Exponents - Fractional Exponents with Non-Square Integer Base - Exponent to Factored Radical (Level 2) - Mobius Math