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Exponents - 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

36(−12)36^{(\frac{-1}{2})}

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 - 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 144 to the power of (-1 over 2 )
a A LaTex expression showing 1 over square root of 144 to the power of 2
b A LaTex expression showing 1 over 4square root of 144
c A LaTex expression showing square root of 144
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 5square root of 144
f A LaTex expression showing 1 over square root of 144
2
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 2 )
a A LaTex expression showing 1 over 5square root of 24
b A LaTex expression showing 1 over square root of 24 to the power of 2
c A LaTex expression showing 1 over square root of 24
d A LaTex expression showing square root of 24
e A LaTex expression showing 1 over 4square root of 24
f A LaTex expression showing 1 over 1
3
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 2square root of 180
b A LaTex expression showing 1 over 3square root of 180
c A LaTex expression showing 1 over square root of 180 to the power of 2
d A LaTex expression showing 1 over 1
e A LaTex expression showing square root of 180
f A LaTex expression showing 1 over square root of 180
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 1 over square root of 72 to the power of 2
b A LaTex expression showing 1 over 4square root of 72
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 5square root of 72
e A LaTex expression showing square root of 72
f A LaTex expression showing 1 over square root of 72
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 5square root of 108
b A LaTex expression showing 1 over square root of 108
c A LaTex expression showing 1 over 2square root of 108
d A LaTex expression showing 1 over 3square root of 108
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over square root of 108 to the power of 2
6
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 75 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 2square root of 75
c A LaTex expression showing square root of 75
d A LaTex expression showing 1 over square root of 75 to the power of 2
e A LaTex expression showing square root of 75 to the power of 2
f A LaTex expression showing 1 over square root of 75
7
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 33-th root of 135
b A LaTex expression showing 1 over 3-th root of 135
c A LaTex expression showing 1 over 23-th root of 135
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 3-th root of 135 to the power of 2
f A LaTex expression showing 1 over 43-th root of 135