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

Exponent

Negative Fractional Exponents with Integer Base - Explanation to Radical (Level 1)

This math topic focuses on practicing negative fractional exponents with integer bases. Specifically, learners are challenged to express terms with negative fractional exponents as radicals. Questions require understanding and applying properties of negative fractional exponents such as \( a^{-\frac{1}{2}} \) and how they represent the reciprocal of the square root of \( a \). Each question provides multiple-choice responses involving the simplification of exponential expressions into radical form, assessing learners' abilities to manipulate and interpret expressions involving roots and radicals based on given hints and integer bases such as 25, 9, 36, 16, and 4.

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

more
View Unit

Negative Fractional Exponents with Integer Base - Explanation to Radical

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

10

Given the hint, what is the fractional exponent the same as?

25(12)25(12)=12525(12)=?25^{(\frac{-1}{2})} \cdot 25^{(\frac{-1}{2})} = \frac{1}{25} \\ 25^{(\frac{-1}{2})} = ?

?