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Exponents - Unit Fraction Base (Level 1)

This topic focuses on practicing the skill of handling exponents with a unit fraction base. It extends to broader concepts involving fractional bases and introductory exponent topics. Each problem in this topic requires finding the result of raising a unit fraction to a given power. The examples include fractions like \( \frac{1}{4}, \frac{1}{6}, \frac{1}{3}, \frac{1}{5}, \) and \( \frac{1}{2} \) all raised to the power of 2, with multiple possible answers provided for each case to test understanding of squaring fractions.

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

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Unit Fraction Base

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Find the answer when this fraction is raised to its exponent

(14)2(\frac{1}{4})^{2}

Exponents - Unit Fraction Base Worksheet

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Math worksheet on 'Exponents - Unit Fraction 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 (1 over 4 ) to the power of 2
a A LaTex expression showing 3
b A LaTex expression showing 1 over 16
c A LaTex expression showing 1 over 4
d A LaTex expression showing 2 over 4
e A LaTex expression showing 1
f A LaTex expression showing -2 over 4
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 2 ) to the power of 2
a A LaTex expression showing 3
b A LaTex expression showing 1 over 16
c A LaTex expression showing 1
d A LaTex expression showing 4 over 2
e A LaTex expression showing 1 over 4
f A LaTex expression showing 3 over 4
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 6 ) to the power of 2
a A LaTex expression showing 1 over 39
b A LaTex expression showing 1 over 216
c A LaTex expression showing 1 over 8
d A LaTex expression showing 1 over 36
e A LaTex expression showing 1 over 1,296
f A LaTex expression showing 4 over 39
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 5 ) to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 25
d A LaTex expression showing 3 over 125
e A LaTex expression showing 2 over 5
f A LaTex expression showing 2 over 28
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 3 ) to the power of 2
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 9
c A LaTex expression showing 1 over 6
d A LaTex expression showing 2 over 81
e A LaTex expression showing 2 over 6
f A LaTex expression showing 3