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Exponents - Fractional Exponents with Unit Fractional Base (Level 2)

This math topic focuses on solving problems related to fractional exponents with unit fractional bases. It includes calculating the values of fractions raised to fractional powers, specifically powers that are unit fractions. The problems require students to evaluate expressions like \((\frac{1}{n})^{\frac{1}{m}}\), where \( n \) and \( m \) are integers, and to select the correct answer from multiple-choice options provided. The questions are designed to develop and reinforce skills in handling fractional exponents and roots, crucial concepts in algebra and pre-calculus.

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

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Fractional Exponents with Unit Fractional 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

(19)(12)(\frac{1}{9})^{(\frac{1}{2})}

Exponents - Fractional Exponents with Unit Fractional Base Worksheet

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Math worksheet on 'Exponents - Fractional Exponents with Unit Fractional Base (Level 2)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_practice/
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 27 ) to the power of (1 over 3 )
a A LaTex expression showing 2
b A LaTex expression showing 3-th root of 2
c A LaTex expression showing 4 over 3
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1
f A LaTex expression showing 3 over 3
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 125 ) to the power of (1 over 3 )
a A LaTex expression showing 5 over 4
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing 5
e A LaTex expression showing 1 over 5
f A LaTex expression showing \frac{3-th root of 3}{5}
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 49 ) to the power of (1 over 2 )
a A LaTex expression showing 4
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1
d A LaTex expression showing 1 over 7
e A LaTex expression showing square root of 4
f A LaTex expression showing square root of 3
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 81 ) to the power of (1 over 4 )
a A LaTex expression showing 1
b A LaTex expression showing 5 over 3
c A LaTex expression showing 1 over 3
d A LaTex expression showing 2
e A LaTex expression showing 3
f A LaTex expression showing 4-th root of 4
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 9 ) to the power of (1 over 2 )
a A LaTex expression showing square root of 4
b A LaTex expression showing 5 over 4
c A LaTex expression showing 1
d A LaTex expression showing 1 over 3square root of 4
e A LaTex expression showing 4 over 3
f A LaTex expression showing 1 over 3
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 121 ) to the power of (1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 1 over 11
c A LaTex expression showing 2 over 5
d A LaTex expression showing \frac{square root of 3}{11}
e A LaTex expression showing \frac{square root of 4}{11}
f A LaTex expression showing 1 over 4
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 8 ) to the power of (1 over 3 )
a A LaTex expression showing 5
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 2
d A LaTex expression showing 5 over 5
e A LaTex expression showing 3 over 5
f A LaTex expression showing 1