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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Exponents - Fractional Base
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (10 over 2 ) to the power of 2
a A LaTex expression showing 20 over 4
b A LaTex expression showing 12 over 4
c A LaTex expression showing 12 over 2
d A LaTex expression showing 100 over 4
e A LaTex expression showing 10 over 4
f A LaTex expression showing 10,000 over 4
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (10 over 8 ) to the power of 2
a A LaTex expression showing 12 over 4,096
b A LaTex expression showing 20 over 16
c A LaTex expression showing 1,000 over 8
d A LaTex expression showing 20 over 512
e A LaTex expression showing 100 over 64
f A LaTex expression showing 1,000 over 67
3
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 1 over 1,331
c A LaTex expression showing 10 over 13
d A LaTex expression showing 10
e A LaTex expression showing 25 over 121
f A LaTex expression showing 125 over 14,641
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 9 ) to the power of 2
a A LaTex expression showing 7 over 9
b A LaTex expression showing 49 over 81
c A LaTex expression showing 14 over 18
d A LaTex expression showing 9 over 78
e A LaTex expression showing 343 over 729
f A LaTex expression showing 7 over 11
5
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 1 over 11
b A LaTex expression showing 8 over 13
c A LaTex expression showing 4 over 121
d A LaTex expression showing 7 over 11
e A LaTex expression showing 4 over 13
f A LaTex expression showing 16 over 13
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (9 over 3 ) to the power of 2
a A LaTex expression showing 81 over 9
b A LaTex expression showing 18
c A LaTex expression showing 6,561 over 12
d A LaTex expression showing 1 over 81
e A LaTex expression showing 18 over 81
f A LaTex expression showing 18 over 3
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (11 over 8 ) to the power of 2
a A LaTex expression showing 22 over 16
b A LaTex expression showing 11 over 512
c A LaTex expression showing 1,331 over 61
d A LaTex expression showing 121 over 64
e A LaTex expression showing 118 over 512
f A LaTex expression showing 1,331 over 10
8
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 10 ) to the power of 2
a A LaTex expression showing 46 over 10,000
b A LaTex expression showing 7 over 1,000
c A LaTex expression showing 1 over 10
d A LaTex expression showing 49 over 100
e A LaTex expression showing 14 over 10
f A LaTex expression showing 1 over 12