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Exponents - Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical (Level 2)

This math topic focuses on understanding and converting fractional exponents with non-square integer bases into their radical form. The practice problems include determining the equivalent radical expression for fractional powers of various integers. Each question presents different integer bases raised to fractional exponents (such as one-third, one-fourth, or one-half), and challenges to find the correct radical representation among multiple choices. This skill is part of a broader intro unit on exponents, specifically dealing with fractional bases and exponents.

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

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Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the radical that is the same as this number raised to its exponent

108(12)108^{(\frac{1}{2})}

Exponents - Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical Worksheet

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Math worksheet on 'Exponents - Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical (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 radical that is the same as this number raised to its exponent
A LaTex expression showing 24 to the power of (1 over 3 )
a A LaTex expression showing 3-th root of 24
b A LaTex expression showing 53-th root of 24
c A LaTex expression showing 43-th root of 24
d A LaTex expression showing 1
e A LaTex expression showing 23-th root of 24
f A LaTex expression showing 33-th root of 24
2
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 32 to the power of (1 over 2 )
a A LaTex expression showing 4square root of 32
b A LaTex expression showing 2square root of 32
c A LaTex expression showing square root of 32
d A LaTex expression showing 1
e A LaTex expression showing 1 over square root of 32
f A LaTex expression showing 5square root of 32
3
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 48 to the power of (1 over 4 )
a A LaTex expression showing 1 over 4-th root of 48
b A LaTex expression showing 24-th root of 48
c A LaTex expression showing 1
d A LaTex expression showing 44-th root of 48
e A LaTex expression showing 54-th root of 48
f A LaTex expression showing 4-th root of 48
4
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 72 to the power of (1 over 2 )
a A LaTex expression showing 2square root of 72
b A LaTex expression showing 5square root of 72
c A LaTex expression showing 1
d A LaTex expression showing 3square root of 72
e A LaTex expression showing square root of 72
f A LaTex expression showing 4square root of 72
5
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 18 to the power of (1 over 2 )
a A LaTex expression showing 1 over square root of 18
b A LaTex expression showing square root of 18 to the power of 2
c A LaTex expression showing 3square root of 18
d A LaTex expression showing square root of 18
e A LaTex expression showing 1
6
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 162 to the power of (1 over 3 )
a A LaTex expression showing 3-th root of 162 to the power of 3
b A LaTex expression showing 33-th root of 162
c A LaTex expression showing 1 over 3-th root of 162
d A LaTex expression showing 1
e A LaTex expression showing 3-th root of 162
f A LaTex expression showing 23-th root of 162
7
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 40 to the power of (1 over 3 )
a A LaTex expression showing 33-th root of 40
b A LaTex expression showing 3-th root of 4
c A LaTex expression showing 3-th root of 40
d A LaTex expression showing 23-th root of 40
e A LaTex expression showing 1
f A LaTex expression showing 53-th root of 40