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

This math topic focuses on solving problems involving negative fractional exponents with unit fractional bases. Each question presents a different fraction raised to a negative fractional exponent, requiring the evaluation of its mathematical expression to find the correct answer. The exponents and bases used are fractional, adding complexity to the calculations and requiring a solid understanding of exponents rules, particularly those involving negative and fractional values.

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

(125)(−12)(\frac{1}{25})^{(\frac{-1}{2})}

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 1)'. 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 49 ) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 5
b A LaTex expression showing 5
c A LaTex expression showing 7square root of 2
d A LaTex expression showing 7
e A LaTex expression showing 5 over square root of 4
f A LaTex expression showing 1 over 4
2
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 3
b A LaTex expression showing 1 over 2
c A LaTex expression showing \frac{3square root of 4}{4}
d A LaTex expression showing 3 over square root of 4
e A LaTex expression showing 2
f A LaTex expression showing 1
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 4 over square root of 3
b A LaTex expression showing 1
c A LaTex expression showing \frac{5square root of 2}{3}
d A LaTex expression showing 5
e A LaTex expression showing 5 over 2
f A LaTex expression showing 5square root of 3
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 1 over square root of 2
b A LaTex expression showing \frac{11square root of 3}{2}
c A LaTex expression showing 11
d A LaTex expression showing 1
e A LaTex expression showing 11square root of 4
f A LaTex expression showing 4
5
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 5 over 3
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing \frac{2square root of 2}{4}
e A LaTex expression showing 2square root of 3
f A LaTex expression showing 2