Exponent

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

This math topic involves practicing with negative fractional exponents using non-square integer bases and converting these expressions to unsimplified radicals. The problems require students to find the equivalent radical form of numbers raised to negative fractional powers. The worksheet covers various integer bases and includes multiple-choice answers to allow students to test their understanding of exponent rules and their ability to simplify expressions involving roots.

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

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Negative 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

128(13)128^{(\frac{-1}{3})}

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

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Math worksheet on 'Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical (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 radical that is the same as this number raised to its exponent
A LaTex expression showing 135 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 43-th root of 135
b A LaTex expression showing 1 over 3-th root of 135
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 33-th root of 135
e A LaTex expression showing 1 over 3-th root of 135 to the power of 2
f A LaTex expression showing 1 over 23-th root of 135
2
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 180 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 180
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 2square root of 180
d A LaTex expression showing square root of 180
e A LaTex expression showing 1 over square root of 180
f A LaTex expression showing 1 over square root of 180 to the power of 2
3
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 20 to the power of (-1 over 2 )
a A LaTex expression showing 1 over square root of 3
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over square root of 20
d A LaTex expression showing 1 over 4square root of 20
e A LaTex expression showing 1 over 2square root of 20
f A LaTex expression showing 1 over square root of 20 to the power of 2
4
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 1 over 53-th root of 40
b A LaTex expression showing 1 over 3-th root of 2
c A LaTex expression showing 1 over 3-th root of 3
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 3-th root of 40 to the power of 2
f A LaTex expression showing 1 over 3-th root of 40
5
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 108 to the power of (-1 over 2 )
a A LaTex expression showing 1 over square root of 108 to the power of 2
b A LaTex expression showing 1 over 3square root of 108
c A LaTex expression showing 1 over 2square root of 108
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over square root of 108
f A LaTex expression showing 1 over 5square root of 108
6
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 128 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 53-th root of 128
b A LaTex expression showing 1 over 3-th root of 128
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 3-th root of 128 to the power of 2
e A LaTex expression showing 1 over 43-th root of 128
f A LaTex expression showing 3-th root of 128
7
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 12 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 12
b A LaTex expression showing 1 over square root of 12
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 4square root of 12
e A LaTex expression showing square root of 12
f A LaTex expression showing 1 over square root of 12 to the power of 2