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

This math topic focuses on practicing calculations with negative fractional exponents where the bases are unit fractions. It covers evaluating expressions such as \((1/49)^{-1/2}\) or \((1/27)^{-1/3}\). The problems are designed to enhance understanding of how to manipulate and simplify expressions involving both fractional and negative exponents. This is part of a larger unit on exponents that deal with negative and fractional bases and exponents. Each problem offers multiple choice answers, and students must determine the correct simplification of the given exponentiated fraction.

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

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Negative 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

(18)(−13)(\frac{1}{8})^{(\frac{-1}{3})}

Exponents - Negative Fractional Exponents with Unit Fractional Base Worksheet

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Math worksheet on 'Exponents - Negative Fractional Exponents with Unit Fractional Base (Level 2)'. Part of a broader unit on 'Exponents - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
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 5square root of 3
b A LaTex expression showing 5
c A LaTex expression showing 4 over square root of 3
d A LaTex expression showing 1
e A LaTex expression showing \frac{5square root of 2}{3}
f A LaTex expression showing 5 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 5
b A LaTex expression showing 5 over square root of 4
c A LaTex expression showing 7
d A LaTex expression showing 1 over 4
e A LaTex expression showing 7square root of 2
f A LaTex expression showing 1 over 5
3
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 4
c A LaTex expression showing 1 over 4
d A LaTex expression showing 3
e A LaTex expression showing \frac{34-th root of 3}{2}
f A LaTex expression showing 4 over 3
4
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{2square root of 2}{4}
b A LaTex expression showing 1
c A LaTex expression showing 2
d A LaTex expression showing 5 over 3
e A LaTex expression showing 2square root of 3
f A LaTex expression showing 4
5
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 11
b A LaTex expression showing 4
c A LaTex expression showing 1 over square root of 2
d A LaTex expression showing 1
e A LaTex expression showing \frac{11square root of 3}{2}
f A LaTex expression showing 11square root of 4
6
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 1 over 5
b A LaTex expression showing 1 over 2
c A LaTex expression showing 3
d A LaTex expression showing 1 over 4
e A LaTex expression showing 5
f A LaTex expression showing 53-th root of 2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (1 over 16 ) to the power of (-1 over 4 )
a A LaTex expression showing 1
b A LaTex expression showing 2
c A LaTex expression showing 4 over 4-th root of 2
d A LaTex expression showing 1 over 2
e A LaTex expression showing 5
f A LaTex expression showing \frac{24-th root of 2}{3}