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.

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Fractional Base

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Find the answer when this fraction is raised to its exponent

(64)2(\frac{6}{4})^{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 (4 over 6 ) to the power of 2
a A LaTex expression showing 64 over 8
b A LaTex expression showing 4 over 6
c A LaTex expression showing 16 over 36
d A LaTex expression showing 19 over 6
e A LaTex expression showing 8 over 6
f A LaTex expression showing 4 over 39
2
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 8 over 7
b A LaTex expression showing 4 over 25
c A LaTex expression showing 8 over 5
d A LaTex expression showing 16 over 125
e A LaTex expression showing 1 over 22
f A LaTex expression showing 2 over 28
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (6 over 5 ) to the power of 2
a A LaTex expression showing 8
b A LaTex expression showing 216 over 22
c A LaTex expression showing 33
d A LaTex expression showing 39 over 7
e A LaTex expression showing 36 over 25
f A LaTex expression showing 1 over 125
4
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 10 over 6
b A LaTex expression showing 25 over 9
c A LaTex expression showing 125 over 12
d A LaTex expression showing 10 over 27
e A LaTex expression showing 5
f A LaTex expression showing 5 over 81
5
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 3 over 6
b A LaTex expression showing 6 over 12
c A LaTex expression showing 27 over 216
d A LaTex expression showing 27 over 12
e A LaTex expression showing 9 over 36
f A LaTex expression showing 6 over 1,296
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 2 ) to the power of 2
a A LaTex expression showing 9 over 4
b A LaTex expression showing 6 over 4
c A LaTex expression showing 27 over 4
d A LaTex expression showing 6
e A LaTex expression showing 3 over 8
f A LaTex expression showing 27 over 8
7
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 25 over 36
b A LaTex expression showing 7 over 6
c A LaTex expression showing 28 over 216
d A LaTex expression showing 125 over 6
e A LaTex expression showing 1 over 12
f A LaTex expression showing 10 over 12