Negative Fractional Exponents with Fractional Base (Level 2)

This math topic focuses on helping learners develop proficiency in evaluating negative fractional exponents with fractional bases. The problems involve computing expressions where fractions are raised to negative fractional powers, a nuanced concept within the general study of exponents that also touches on negative, fractional, and power laws. Each problem presents multiple choice answers, requiring students to not only compute but also select the correct output from several options. This set of problems emphasizes a deeper understanding of the rules and operations governing powers and roots in fractional and negative contexts.

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

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Exponents - Negative Fractional Exponents with Fractional Base Worksheet

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Math worksheet on 'Exponents - Negative Fractional Exponents with Fractional Base (Level 2)'. 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 (121 over 49 ) to the power of (-1 over 2 )
a A LaTex expression showing 3 over 2
b A LaTex expression showing 1
c A LaTex expression showing 3
d A LaTex expression showing 7 over 11
e A LaTex expression showing 7
f A LaTex expression showing 1 over 2
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 25 ) to the power of (-1 over 2 )
a A LaTex expression showing 5 over 2
b A LaTex expression showing 1 over 2square root of 3
c A LaTex expression showing 5 over 4
d A LaTex expression showing 5
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 5
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (125 over 8 ) to the power of (-1 over 3 )
a A LaTex expression showing 2 over 5
b A LaTex expression showing 2
c A LaTex expression showing 4 over 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1
f A LaTex expression showing 4
4
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 3
b A LaTex expression showing 4 over 2
c A LaTex expression showing 3 over 2
d A LaTex expression showing 1 over 2
e A LaTex expression showing 5
f A LaTex expression showing 5 over 3
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (27 over 8 ) to the power of (-1 over 3 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 2 over 3
c A LaTex expression showing 2 over 4
d A LaTex expression showing 2
e A LaTex expression showing 1
f A LaTex expression showing 3
6
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 2
b A LaTex expression showing 2 over 2
c A LaTex expression showing 1 over 2
d A LaTex expression showing 3
e A LaTex expression showing 1 over 2square root of 4
f A LaTex expression showing 7 over 2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (121 over 25 ) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 11square root of 4
b A LaTex expression showing 4 over 4
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
e A LaTex expression showing 5
f A LaTex expression showing 5 over 11