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Exponents - Unit Fraction Base (Level 3)

This math topic focuses on exponents with unit fraction bases. Students engage in calculations involving raising unit fractions to different powers. They practice simplifying expressions and determining the correct values of powers of fractions, such as \((\frac{1}{9})^2\), \((\frac{1}{6})^3\), \((\frac{1}{5})^3\), \((\frac{1}{3})^4\), \((\frac{1}{2})^4\), \((\frac{1}{11})^2\), and \((\frac{1}{2})^5\). Each problem is accompanied by multiple-choice answers, allowing students to select the correct simplified result after performing the exponentiation. This task aids the understanding of the influence of exponents on fractional bases.

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Unit Fraction Base

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Find the answer when this fraction is raised to its exponent

(13)4(\frac{1}{3})^{4}

Exponents - Unit Fraction Base Worksheet

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Math worksheet on 'Exponents - Unit Fraction Base (Level 3)'. 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 11 ) to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing 3 over 1,331
c A LaTex expression showing 1 over 13
d A LaTex expression showing 2 over 22
e A LaTex expression showing -2 over 14,641
f A LaTex expression showing 1 over 121
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 6 ) to the power of 3
a A LaTex expression showing 4 over 18
b A LaTex expression showing 3 over 36
c A LaTex expression showing 1 over 216
d A LaTex expression showing 1 over 36
e A LaTex expression showing 1 over 1,296
f A LaTex expression showing 3 over 219
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 3 ) to the power of 4
a A LaTex expression showing 1 over 243
b A LaTex expression showing 1 over 7
c A LaTex expression showing 4 over 12
d A LaTex expression showing 1 over 81
e A LaTex expression showing 1 over 12
f A LaTex expression showing 4 over 7
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 10 ) to the power of 2
a A LaTex expression showing 3 over 10
b A LaTex expression showing 1 over 20
c A LaTex expression showing 1 over 100
d A LaTex expression showing 4 over 10,000
e A LaTex expression showing -2 over 20
f A LaTex expression showing 2 over 20
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 9 ) to the power of 2
a A LaTex expression showing 2 over 18
b A LaTex expression showing 1 over 11
c A LaTex expression showing 1
d A LaTex expression showing 1 over 9
e A LaTex expression showing 1 over 81
f A LaTex expression showing 2 over 729
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 5 ) to the power of 3
a A LaTex expression showing 1 over 15
b A LaTex expression showing 1 over 125
c A LaTex expression showing 1 over 8
d A LaTex expression showing 3 over 128
e A LaTex expression showing 1 over 625
f A LaTex expression showing -2 over 15
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 2 ) to the power of 4
a A LaTex expression showing 1 over 8
b A LaTex expression showing 1 over 16
c A LaTex expression showing 5 over 4
d A LaTex expression showing 4 over 32
e A LaTex expression showing 4 over 8
f A LaTex expression showing -2 over 6