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Exponents - Fractional Exponents with Fractional Base (Level 1)

This math topic focuses on practicing calculations with fractional exponents on fractional bases. It explores solving for the results when a fraction, such as \( \frac{9}{25} \), \( \frac{9}{49} \), \( \frac{25}{9} \), or similar, is raised to a fractional power like \( \frac{1}{2} \). Learners have multiple choice answers available for each question and need to determine the correct simplification or evaluation of the exponentiated expression. This set of problems helps to enhance understanding of operations involving fractional exponents and bases, crucial for algebraic proficiency and problem solving in higher mathematics.

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

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Fractional Exponents with 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

(254)(12)(\frac{25}{4})^{(\frac{1}{2})}

Exponents - Fractional Exponents with Fractional Base Worksheet

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Math worksheet on 'Exponents - Fractional Exponents with 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 (25 over 121 ) to the power of (1 over 2 )
a A LaTex expression showing 5 over 3
b A LaTex expression showing 2 over 11square root of 2
c A LaTex expression showing 5 over 11
d A LaTex expression showing 5
e A LaTex expression showing 5square root of 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 (4 over 49 ) to the power of (1 over 2 )
a A LaTex expression showing 2
b A LaTex expression showing 2 over 2
c A LaTex expression showing 4 over 7square root of 4
d A LaTex expression showing 3
e A LaTex expression showing 2 over 7
f A LaTex expression showing 1 over 5
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (49 over 9 ) to the power of (1 over 2 )
a A LaTex expression showing 3 over 3square root of 2
b A LaTex expression showing 1
c A LaTex expression showing 7
d A LaTex expression showing 7 over 3
e A LaTex expression showing 1 over 3
f A LaTex expression showing 1 over 3square root of 4
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (25 over 4 ) to the power of (1 over 2 )
a A LaTex expression showing 5square root of 4
b A LaTex expression showing 1 over 5
c A LaTex expression showing 5 over 2
d A LaTex expression showing 5square root of 3
e A LaTex expression showing 5
f A LaTex expression showing 1
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 25 ) to the power of (1 over 2 )
a A LaTex expression showing 5 over 5
b A LaTex expression showing 2
c A LaTex expression showing 2 over 5
d A LaTex expression showing 1 over 5
e A LaTex expression showing 3 over 3
f A LaTex expression showing 1
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (9 over 121 ) to the power of (1 over 2 )
a A LaTex expression showing 3
b A LaTex expression showing 1
c A LaTex expression showing 1 over 11
d A LaTex expression showing 5
e A LaTex expression showing 3 over 11
f A LaTex expression showing 3 over 2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (25 over 9 ) to the power of (1 over 2 )
a A LaTex expression showing 5 over 3square root of 4
b A LaTex expression showing 1
c A LaTex expression showing \frac{5square root of 4}{3square root of 4}
d A LaTex expression showing 5 over 3
e A LaTex expression showing 1 over 5
f A LaTex expression showing 5