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Exponents - Fractional Exponents with Unit Fractional Base (Level 1)

This math topic focuses on fractional exponents with unit fractional bases. Students solve problems where a unit fraction is raised to the power of another fraction, specifically a half. The goal is to find the square root of various unit fractions, such as \( \left(\frac{1}{4}\right)^{1/2} \), \( \left(\frac{1}{49}\right)^{1/2} \), \( \left(\frac{1}{25}\right)^{1/2} \), \( \left(\frac{1}{9}\right)^{1/2} \), and \( \left(\frac{1}{121}\right)^{1/2} \). Each question is followed by a selection of options, and students must identify the correct simplification from multiple choices. This activity is designed to enhance understanding of the properties of exponents, particularly their application to fractions.

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

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Find the answer when this fraction is raised to its exponent

(125)(12)(\frac{1}{25})^{(\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 1)'. 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 4 ) to the power of (1 over 2 )
a A LaTex expression showing \frac{square root of 2}{4}
b A LaTex expression showing 1 over 2square root of 3
c A LaTex expression showing 1
d A LaTex expression showing 1 over 2
e A LaTex expression showing square root of 4
f A LaTex expression showing 4 over 2
2
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 1 over 7
b A LaTex expression showing 1
c A LaTex expression showing 1 over 4
d A LaTex expression showing square root of 4
e A LaTex expression showing square root of 3
f A LaTex expression showing 4
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 25 ) to the power of (1 over 2 )
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 5square root of 3
c A LaTex expression showing 1
d A LaTex expression showing 2 over 5
e A LaTex expression showing 4
f A LaTex expression showing square root of 4
4
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 \frac{square root of 4}{11}
b A LaTex expression showing 1 over 11
c A LaTex expression showing 1
d A LaTex expression showing 2 over 5
e A LaTex expression showing 1 over 4
f A LaTex expression showing \frac{square root of 3}{11}
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 4 over 3
b A LaTex expression showing 1
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 3square root of 4
e A LaTex expression showing square root of 4
f A LaTex expression showing 5 over 4