Fractional Base (Level 3)

This math topic focuses on practicing calculations with exponents involving fractional bases. It involves solving problems where different fractions are raised to the power of 2. The learner must compute the result of these exponentiations and choose the correct result from multiple options provided for each question. The broader unit this topic belongs to is "Exponents - Negative and Fractional Bases and Exponents."

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 3)'. 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 (9 over 8 ) to the power of 2
a A LaTex expression showing 18 over 10
b A LaTex expression showing 84 over 4,096
c A LaTex expression showing 81 over 64
d A LaTex expression showing 6,561 over 10
e A LaTex expression showing 1 over 67
f A LaTex expression showing 6,561 over 512
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (11 over 5 ) to the power of 2
a A LaTex expression showing 124
b A LaTex expression showing 124 over 28
c A LaTex expression showing 121 over 25
d A LaTex expression showing 11
e A LaTex expression showing 13 over 125
f A LaTex expression showing 11 over 125
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 11 ) to the power of 2
a A LaTex expression showing 7 over 11
b A LaTex expression showing 4 over 13
c A LaTex expression showing 4 over 121
d A LaTex expression showing 8 over 13
e A LaTex expression showing 1 over 11
f A LaTex expression showing 16 over 13
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 5 ) to the power of 3
a A LaTex expression showing 8 over 125
b A LaTex expression showing 16 over 15
c A LaTex expression showing 5 over 625
d A LaTex expression showing 4 over 625
e A LaTex expression showing 2 over 15
f A LaTex expression showing 16 over 625
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 11 ) to the power of 2
a A LaTex expression showing 5 over 22
b A LaTex expression showing 25 over 121
c A LaTex expression showing 10 over 13
d A LaTex expression showing 1 over 1,331
e A LaTex expression showing 10
f A LaTex expression showing 125 over 14,641
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 9 ) to the power of 2
a A LaTex expression showing 1 over 9
b A LaTex expression showing 4 over 81
c A LaTex expression showing 4 over 9
d A LaTex expression showing 1 over 84
e A LaTex expression showing 8 over 11
f A LaTex expression showing 4 over 11
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (8 over 10 ) to the power of 2
a A LaTex expression showing 8
b A LaTex expression showing 10 over 1,000
c A LaTex expression showing 16 over 12
d A LaTex expression showing 16 over 1,000
e A LaTex expression showing 64 over 100
f A LaTex expression showing 8 over 10