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Exponents - Fractional Base (Level 1)

This math topic focuses on practicing exponents with fractional bases. Learners encounter multiple choice questions where they must solve for the value of a fraction raised to a specified power. Each question presents a fraction such as \( \frac{5}{4} \), \( \frac{2}{3} \), or \( \frac{6}{5} \) raised to the power of 2, alongside several answer choices, each represented by a different fractional or whole number expression. The goal is to select the correct simplified result of raising the fraction to the given power.

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

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Fractional Base

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Find the answer when this fraction is raised to its exponent

(65)2(\frac{6}{5})^{2}

Exponents - Fractional Base Worksheet

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Math worksheet on 'Exponents - Fractional Base (Level 1)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Intro' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_intro/
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 6 ) to the power of 2
a A LaTex expression showing 27 over 12
b A LaTex expression showing 6 over 12
c A LaTex expression showing 27 over 216
d A LaTex expression showing 3 over 6
e A LaTex expression showing 9 over 36
f A LaTex expression showing 6 over 1,296
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 5 ) to the power of 2
a A LaTex expression showing 27 over 10
b A LaTex expression showing 6 over 10
c A LaTex expression showing 81 over 10
d A LaTex expression showing 9 over 25
e A LaTex expression showing 6 over 5
f A LaTex expression showing 6 over 7
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 4 ) to the power of 2
a A LaTex expression showing 625 over 4
b A LaTex expression showing 28 over 4
c A LaTex expression showing 1 over 256
d A LaTex expression showing 25 over 16
e A LaTex expression showing 125 over 64
f A LaTex expression showing 10 over 8
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 5 ) to the power of 2
a A LaTex expression showing 2 over 28
b A LaTex expression showing 8 over 5
c A LaTex expression showing 8 over 7
d A LaTex expression showing 1 over 22
e A LaTex expression showing 4 over 25
f A LaTex expression showing 16 over 125
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (6 over 4 ) to the power of 2
a A LaTex expression showing 33 over 64
b A LaTex expression showing 216
c A LaTex expression showing 36 over 16
d A LaTex expression showing 1,296 over 13
e A LaTex expression showing 1 over 64
f A LaTex expression showing 33 over 256
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 6 ) to the power of 2
a A LaTex expression showing 10 over 12
b A LaTex expression showing 28 over 216
c A LaTex expression showing 25 over 36
d A LaTex expression showing 7 over 6
e A LaTex expression showing 1 over 12
f A LaTex expression showing 125 over 6
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 3 ) to the power of 2
a A LaTex expression showing 25 over 9
b A LaTex expression showing 10 over 6
c A LaTex expression showing 5
d A LaTex expression showing 5 over 81
e A LaTex expression showing 125 over 12
f A LaTex expression showing 10 over 27