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Exponents - Fractional Exponents with Fractional Base (Level 2)

This math topic practices the calculation of fractional exponents applied to fractional bases. It involves solving problems where a fractional number is raised to the power of another fraction. Each problem requires identifying the correct result of the calculation from multiple choices, testing proficiency in fractional bases and exponents. This is a Level 2 difficulty practice, part of a broader unit on exponents, emphasizing foundational skills in managing powers and roots with fractional terms.

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

(827)(13)(\frac{8}{27})^{(\frac{1}{3})}

Exponents - Fractional Exponents with Fractional Base Worksheet

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Math worksheet on 'Exponents - Fractional Exponents with 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 (9 over 25 ) to the power of (1 over 2 )
a A LaTex expression showing 2 over 5
b A LaTex expression showing 4 over 5
c A LaTex expression showing 3 over 5square root of 4
d A LaTex expression showing 3
e A LaTex expression showing 3 over 5
f A LaTex expression showing 1 over 5square root of 3
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 9 ) to the power of (1 over 2 )
a A LaTex expression showing 5 over 3square root of 2
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing \frac{2square root of 3}{3square root of 4}
e A LaTex expression showing 5 over 3
f A LaTex expression showing 2 over 3
3
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 over 11
c A LaTex expression showing 3 over 2
d A LaTex expression showing 3 over 11
e A LaTex expression showing 1
f A LaTex expression showing 5
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (49 over 25 ) to the power of (1 over 2 )
a A LaTex expression showing 1 over 5square root of 2
b A LaTex expression showing 3 over 5
c A LaTex expression showing 2 over 4
d A LaTex expression showing 3 over 5square root of 2
e A LaTex expression showing 7 over 5
f A LaTex expression showing 2
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (125 over 8 ) to the power of (1 over 3 )
a A LaTex expression showing 5 over 2
b A LaTex expression showing 1
c A LaTex expression showing 5 over 23-th root of 4
d A LaTex expression showing 5
e A LaTex expression showing 1 over 2
f A LaTex expression showing 2 over 5
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (4 over 121 ) to the power of (1 over 2 )
a A LaTex expression showing 1 over 11
b A LaTex expression showing 3 over 11square root of 2
c A LaTex expression showing 1
d A LaTex expression showing 2 over 11
e A LaTex expression showing 2
f A LaTex expression showing 3 over 4
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (27 over 8 ) to the power of (1 over 3 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 3 over 2
c A LaTex expression showing 3
d A LaTex expression showing 1
e A LaTex expression showing \frac{33-th root of 2}{2}
f A LaTex expression showing 1 over 23-th root of 4