Fractional Base (Level 2)

This math topic involves problems on raising fractions to a given exponent, specifically focusing on fractional bases. It challenges students to compute the result of fractional expressions raised to various powers, with multiple choices offered for each question. The problems are an essential part of understanding and applying the rules of exponents, particularly with non-integer bases, enhancing the learner's skills in dealing with more complex algebraic expressions.

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

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Exponents - Fractional Base Worksheet

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Math worksheet on 'Exponents - 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 (2 over 3 ) to the power of 3
a A LaTex expression showing 32 over 81
b A LaTex expression showing 2 over 81
c A LaTex expression showing 8 over 27
d A LaTex expression showing 4 over 3
e A LaTex expression showing 6 over 243
f A LaTex expression showing 4 over 81
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 2 ) to the power of 3
a A LaTex expression showing 6 over 5
b A LaTex expression showing 3 over 2
c A LaTex expression showing 27 over 8
d A LaTex expression showing 81 over 4
e A LaTex expression showing 9 over 4
f A LaTex expression showing 9 over 16
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (8 over 2 ) to the power of 2
a A LaTex expression showing 10 over 16
b A LaTex expression showing 67 over 4
c A LaTex expression showing 4,096 over 8
d A LaTex expression showing 1
e A LaTex expression showing 10 over 4
f A LaTex expression showing 64 over 4
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 8 ) to the power of 2
a A LaTex expression showing 8 over 67
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 67
d A LaTex expression showing 4 over 64
e A LaTex expression showing 4
f A LaTex expression showing 4 over 10
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (8 over 7 ) to the power of 2
a A LaTex expression showing 10 over 7
b A LaTex expression showing 67 over 343
c A LaTex expression showing 1 over 7
d A LaTex expression showing 16
e A LaTex expression showing 512 over 14
f A LaTex expression showing 64 over 49
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 2 ) to the power of 2
a A LaTex expression showing 7
b A LaTex expression showing 343
c A LaTex expression showing 9
d A LaTex expression showing 49 over 4
e A LaTex expression showing 46 over 8
f A LaTex expression showing 9 over 2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 3 ) to the power of 3
a A LaTex expression showing 1,024 over 3
b A LaTex expression showing 12 over 3
c A LaTex expression showing 16 over 9
d A LaTex expression showing 256 over 9
e A LaTex expression showing 16 over 24
f A LaTex expression showing 64 over 27