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Exponents - Negative Fractional Exponents with Fractional Base (Level 1)

This math topic focuses on evaluating negative fractional exponents applied to fractional bases, a concept within the broader unit on negative, fractional, and power law exponents. Students are presented with problems requiring them to simplify expressions where fractions are raised to negative fractional powers. Each question provides multiple choice answers, testing the students' understanding of manipulating exponents and fractions together, encouraging proficiency in fractional exponent laws and their applications.

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

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Negative Fractional Exponents with Fractional Base

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


Find the answer when this fraction is raised to its exponent

(25121)(−12)(\frac{25}{121})^{(\frac{-1}{2})}

Exponents - Negative Fractional Exponents with Fractional Base Worksheet

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Math worksheet on 'Exponents - Negative Fractional Exponents with Fractional Base (Level 1)'. Part of a broader unit on 'Exponents - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (25 over 4 ) to the power of (-1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 1 over 5
c A LaTex expression showing 2 over 5
d A LaTex expression showing 1 over 5square root of 2
e A LaTex expression showing 2square root of 2
f A LaTex expression showing 2
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (49 over 4 ) to the power of (-1 over 2 )
a A LaTex expression showing 2 over 2
b A LaTex expression showing 2
c A LaTex expression showing 2 over 7
d A LaTex expression showing \frac{2square root of 4}{4}
e A LaTex expression showing 2square root of 3
f A LaTex expression showing \frac{2square root of 3}{3}
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 49 ) to the power of (-1 over 2 )
a A LaTex expression showing 7 over 2
b A LaTex expression showing 2
c A LaTex expression showing 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 2 over 2
f A LaTex expression showing 1 over 2square root of 4
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (9 over 25 ) to the power of (-1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 5
d A LaTex expression showing 4
e A LaTex expression showing 5 over 3
f A LaTex expression showing 5 over 2
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (25 over 121 ) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 11 over 5
c A LaTex expression showing 1
d A LaTex expression showing 2
e A LaTex expression showing 4 over 2
f A LaTex expression showing 1 over 4
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 9 ) to the power of (-1 over 2 )
a A LaTex expression showing 5 over 3
b A LaTex expression showing 3 over 2
c A LaTex expression showing 5
d A LaTex expression showing 3
e A LaTex expression showing 4 over 2
f A LaTex expression showing 1 over 2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (25 over 9 ) to the power of (-1 over 2 )
a A LaTex expression showing 3
b A LaTex expression showing 1 over 3
c A LaTex expression showing 3 over 5
d A LaTex expression showing 1
e A LaTex expression showing 3 over 2
f A LaTex expression showing 5 over 3