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Exponents - Unit Fraction Base (Level 2)

This math topic focuses on practicing the computation of powers with unit fraction bases. It involves solving problems where unit fractions (fractions with numerator 1) are raised to various positive integer exponents. Each question presents a unit fraction raised to a power, and students must select the correct simplified result from multiple choices. This subject helps students develop their understanding of the laws of exponents, specifically how they apply to fractions, enhancing their skills in simplifying expressions involving fractional exponents.

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

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Unit Fraction Base

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the answer when this fraction is raised to its exponent

(18)2(\frac{1}{8})^{2}

Exponents - Unit Fraction Base Worksheet

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Math worksheet on 'Exponents - Unit Fraction Base (Level 2)'. 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 3
a A LaTex expression showing 1 over 16
b A LaTex expression showing 3 over 256
c A LaTex expression showing 1 over 64
d A LaTex expression showing 4 over 4
e A LaTex expression showing -2 over 7
f A LaTex expression showing 1 over 12
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 2 ) to the power of 3
a A LaTex expression showing 1 over 11
b A LaTex expression showing 3 over 5
c A LaTex expression showing 1 over 8
d A LaTex expression showing 1 over 16
e A LaTex expression showing 1 over 6
f A LaTex expression showing 3 over 6
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 3 ) to the power of 3
a A LaTex expression showing 3 over 3
b A LaTex expression showing 1 over 9
c A LaTex expression showing 1 over 27
d A LaTex expression showing 1 over 81
e A LaTex expression showing 1 over 3
f A LaTex expression showing -2 over 243
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 7 ) to the power of 2
a A LaTex expression showing 1 over 14
b A LaTex expression showing 1 over 7
c A LaTex expression showing 2 over 9
d A LaTex expression showing 2 over 52
e A LaTex expression showing 4 over 7
f A LaTex expression showing 1 over 49
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 8 ) to the power of 2
a A LaTex expression showing 3 over 16
b A LaTex expression showing 4 over 512
c A LaTex expression showing 1 over 64
d A LaTex expression showing 2
e A LaTex expression showing 2 over 512
f A LaTex expression showing 3 over 61